Curved plane solid
•Download as PPT, PDF•
5 likes•1,459 views
The document discusses properties of cylinders, cones, and spheres. It identifies the key elements of each shape, such as the curved surface and base of a cylinder. It provides examples of how to calculate the surface area and volume of these 3D shapes. The document also gives practice problems involving finding surface areas and dimensions of cylinders based on other given properties.
Report
Share
Report
Share
Recommended
Matematika Bangun Ruang SMP Negeri 2 Rembang kelas IX.5
This document contains information presented by students from Class 9.5 of SMP Negeri 2 Rembang on solid geometry topics such as the elements of solid figures, surface area, volume, and sample problems. It discusses properties and formulas for the surface area and volume of spheres, cylinders, and cones. Sample problems at the end demonstrate calculating surface areas and volumes for solid figures given various measurements like radii and heights. The document is presented in both Indonesian and English.
Curved plane solid by fikri arif hakim and the group
Here are the steps to solve these problems:
1) Volume of sphere = (4/3)πr^3
1.437 cm^3 = (4/3)πr^3
r = 3 cm
2) Original volume = (4/3)π(10)^3 = 4188 cm^3
New volume = (4/3)π(10.5)^3 = 4374.5 cm^3
Change in volume = 4374.5 - 4188 = 186.5 cm^3
So the change in volume of the sphere is 186.5 cm^3
Surface area and volume for 9th class maths
This document discusses how to find the surface areas and volumes of various solid figures. It explains how to calculate the surface area of a cuboid by finding the areas of the six rectangles that make up its surfaces, which equals 2(lb+bh+hl). It also describes how to calculate the curved surface area of a cone by dividing a paper model into small triangles and summing their areas, which equals 1/2*πrL. Finally, it lists the formulas for finding the surface areas and volumes of common 3D shapes like cubes, cylinders, cones, spheres, and hemispheres.
Surface area and volume
1) The document discusses the formulas for calculating the surface area and volume of cylinders, cones, and spheres.
2) The surface area of a cylinder is calculated as 2πrh + 2πr^2, the surface area of a cone is πr(l+r), and the surface area of a sphere is 4πr^2.
3) The volume of a cylinder is πr^2h, the volume of a cone is 1/3πr^2h, and the volume of a sphere is (4/3)πr^3.
MATHS PROJECT
This document discusses the calculation of surface areas and volumes of various 3D shapes. It begins by introducing solids formed by stacking 2D shapes and defines terms like cuboid, cylinder, cone, and sphere. It then provides formulas to calculate the surface area of each shape:
1) The surface area of a cuboid is 2(lb + bh + hl) where l, b, and h are its dimensions.
2) The surface area of a cylinder is 2πrh + 2πr^2, where r is the radius and h is the height.
3) The surface area of a cone is πrl + πr^2, where r is the base radius and l is
Surface area of sphere - Mathematics
This is a session dedicated to three dimensional shapes namely 'SPHERE' & 'HEMISPHERE'. It's designed to explain the concept of surface area for both of these shapes using real life examples
Following are the subtopics covered here:
1. What is Sphere ?
2. Surface area of a sphere
3. Surface area of a hollow hemisphere
4. Surface area of a solid hemisphere
Rangga 9e
The document describes the geometric formulas for balls and cones. It provides definitions and formulas for calculating the surface area and volume of cones and spheres. For cones, it defines the elements, describes how to make the net, and gives the formulas for surface area and volume. For spheres, it similarly defines the elements, notes they have no net, and provides the formulas for surface area and volume. It also discusses how changing the radius impacts the volume.
Surface area and volume - Mathematics
Surface area is the sum of total exposed area of a three dimensional solid object. Its unit can be in the form cm2, m2 etc.
Volume is the amount of space occupied by an object. Its unit can be cm3, m3, etc.
topics -
1. Cube, Cuboid and Cylinder
Cuboid: A cuboid is the solid shape which has six rectangle faces at right angles to each other.
Cube: A cube is a special form of cuboid which is bounded by six equal square faces.
Right Circular Cylinder: A solid obtained by revolving a rectangular lamina about one of its sides, is called as Right Circular Cylinder.
2. Cone and Frustum
Cone: A cone is a three-dimensional geometric shape that tapers smoothly from a flat circular base to a point called vertex.
We can also define it as, “A solid obtained by revolving a right angled triangular lamina about
any side (except hypotenuse) is a right circular cone.”
Frustum: If the cone is cut off by a plane parallel to the base not passing through vertex then we get the lower base portion as a frustum of cone.
3. Sphere and Hemisphere
Hemisphere: A plane passing through the center of a sphere divides sphere into two equal parts. Each part is called a hemisphere.
4. Combination of solids
In real life we come across different objects which are a combination of many shapes like cube cuboid, cylinder, sphere, cone etc. In our previous topics we have seen how to find the areas and volumes of simple objects. Now we will look at a few examples on how to find the areas and volumes of combination of solids.
Recommended
Matematika Bangun Ruang SMP Negeri 2 Rembang kelas IX.5
This document contains information presented by students from Class 9.5 of SMP Negeri 2 Rembang on solid geometry topics such as the elements of solid figures, surface area, volume, and sample problems. It discusses properties and formulas for the surface area and volume of spheres, cylinders, and cones. Sample problems at the end demonstrate calculating surface areas and volumes for solid figures given various measurements like radii and heights. The document is presented in both Indonesian and English.
Curved plane solid by fikri arif hakim and the group
Here are the steps to solve these problems:
1) Volume of sphere = (4/3)πr^3
1.437 cm^3 = (4/3)πr^3
r = 3 cm
2) Original volume = (4/3)π(10)^3 = 4188 cm^3
New volume = (4/3)π(10.5)^3 = 4374.5 cm^3
Change in volume = 4374.5 - 4188 = 186.5 cm^3
So the change in volume of the sphere is 186.5 cm^3
Surface area and volume for 9th class maths
This document discusses how to find the surface areas and volumes of various solid figures. It explains how to calculate the surface area of a cuboid by finding the areas of the six rectangles that make up its surfaces, which equals 2(lb+bh+hl). It also describes how to calculate the curved surface area of a cone by dividing a paper model into small triangles and summing their areas, which equals 1/2*πrL. Finally, it lists the formulas for finding the surface areas and volumes of common 3D shapes like cubes, cylinders, cones, spheres, and hemispheres.
Surface area and volume
1) The document discusses the formulas for calculating the surface area and volume of cylinders, cones, and spheres.
2) The surface area of a cylinder is calculated as 2πrh + 2πr^2, the surface area of a cone is πr(l+r), and the surface area of a sphere is 4πr^2.
3) The volume of a cylinder is πr^2h, the volume of a cone is 1/3πr^2h, and the volume of a sphere is (4/3)πr^3.
MATHS PROJECT
This document discusses the calculation of surface areas and volumes of various 3D shapes. It begins by introducing solids formed by stacking 2D shapes and defines terms like cuboid, cylinder, cone, and sphere. It then provides formulas to calculate the surface area of each shape:
1) The surface area of a cuboid is 2(lb + bh + hl) where l, b, and h are its dimensions.
2) The surface area of a cylinder is 2πrh + 2πr^2, where r is the radius and h is the height.
3) The surface area of a cone is πrl + πr^2, where r is the base radius and l is
Surface area of sphere - Mathematics
This is a session dedicated to three dimensional shapes namely 'SPHERE' & 'HEMISPHERE'. It's designed to explain the concept of surface area for both of these shapes using real life examples
Following are the subtopics covered here:
1. What is Sphere ?
2. Surface area of a sphere
3. Surface area of a hollow hemisphere
4. Surface area of a solid hemisphere
Rangga 9e
The document describes the geometric formulas for balls and cones. It provides definitions and formulas for calculating the surface area and volume of cones and spheres. For cones, it defines the elements, describes how to make the net, and gives the formulas for surface area and volume. For spheres, it similarly defines the elements, notes they have no net, and provides the formulas for surface area and volume. It also discusses how changing the radius impacts the volume.
Surface area and volume - Mathematics
Surface area is the sum of total exposed area of a three dimensional solid object. Its unit can be in the form cm2, m2 etc.
Volume is the amount of space occupied by an object. Its unit can be cm3, m3, etc.
topics -
1. Cube, Cuboid and Cylinder
Cuboid: A cuboid is the solid shape which has six rectangle faces at right angles to each other.
Cube: A cube is a special form of cuboid which is bounded by six equal square faces.
Right Circular Cylinder: A solid obtained by revolving a rectangular lamina about one of its sides, is called as Right Circular Cylinder.
2. Cone and Frustum
Cone: A cone is a three-dimensional geometric shape that tapers smoothly from a flat circular base to a point called vertex.
We can also define it as, “A solid obtained by revolving a right angled triangular lamina about
any side (except hypotenuse) is a right circular cone.”
Frustum: If the cone is cut off by a plane parallel to the base not passing through vertex then we get the lower base portion as a frustum of cone.
3. Sphere and Hemisphere
Hemisphere: A plane passing through the center of a sphere divides sphere into two equal parts. Each part is called a hemisphere.
4. Combination of solids
In real life we come across different objects which are a combination of many shapes like cube cuboid, cylinder, sphere, cone etc. In our previous topics we have seen how to find the areas and volumes of simple objects. Now we will look at a few examples on how to find the areas and volumes of combination of solids.
Circles&sphere
The document discusses geometric shapes related to circles such as spheres, hemispheres, and sectors. It provides formulas for calculating the surface area and volume of spheres and hemispheres. Formulas are given for finding the circumference, area, and radii of circles. The document also discusses converting between degrees and radians and formulas for calculating arc length, area of sectors, and area of segments of circles.
Volume.ppt [recovered]
This document provides information about different 3D shapes - cube, cuboid, cylinder, cone, and sphere. It defines each shape, provides examples, and describes key properties like surface area and volume formulas. Examples are also given to demonstrate calculating the volume of each shape using the relevant formula when given dimensions like side length, radius, or height.
Phalosa
The document provides information about geometric shapes including cones, spheres, and their measurements. It defines formulas for calculating the surface area and volume of cones and spheres. It then works through examples of applying the formulas to find specific measurements of given cones and spheres. Finally, it provides exercises for the reader to practice calculating surface areas, volumes, radii and other values of cones and spheres using the defined formulas.
Chapter 2.2
The document discusses the area and volume of cones. It defines key terms like cone, radius, height, slant height and explains the formulas to calculate the surface area and volume of a cone. The surface area of a cone is calculated as πr(s+r) where r is the radius and s is the slant height. The volume of a cone is calculated as 1/3πr^2h, where r is the radius and h is the height. Several examples are provided to demonstrate calculating the surface area and volume of cones using the given radii and heights.
Maths project surface area and volume by chirag jain class ix a roll no. 17
This is a presentation of the chapter Surface Area and Volume made by me. It includes the derivation of almost all formulas which are explained in NCERT of class IX
Cube, cuboid and cylinder
cube cuboid and cylinder is found .here you can learn surface area and volume of these 3 dimensional figures.it also includes basic information on the basic properties of these figures
area related to circle
This document discusses perimeter and area concepts related to circles such as circumference, radius, diameter, sectors, segments, and combinations of circles and other shapes. It provides examples of calculating the circumference and area of circles, sectors, and segments. It also gives word problems involving finding radii, circumferences, areas, and lengths of arcs and sectors for circles alone or combined with other shapes. The key formulas discussed are the circumference formula C=2πr, area of a circle formula A=πr^2, and formulas for finding sector and segment areas and arc lengths.
Mathematics ppt
A ppt on the surface area and volume of a cone with examples and good definitions which leads to a better understanding........
Surface area and volume by CHANDAN KUMAR SETHY , CLASS - 10th
Surface area and volume by CHANDAN KUMAR SETHY , CLASS - 10thjawahar navodaya vidyalaya,surangi,ganjam,odisha
POWER POINT PRESENTATION ON SURFACE AREA AND VOLUME FOR CLASS10th MATHS.it is on mensuration . we can find surface area and volume of cube.cuboid,sphere,cylinder,cone,frustum,hemi sphereVolume of a right circular cone
The document discusses different types of cones, including right circular cones. It defines key terms like height, slant height, radius, and derives the formula for the volume of a right circular cone as 1/3 * π * r^2 * h. It provides examples of using the formula to calculate volumes of cones formed in different ways.
Cones and frustum slides
The document defines and provides information about cones, conical frustums, and how to calculate their volume and total surface area. It explains that a cone tapers from a circular base to a point, and can be a right cone or oblique cone. Formulas are given for calculating the volume and total surface area of cones and conical frustums. Examples are worked through applying the formulas to calculate volume and surface area of different cone and frustum shapes.
Cones
A cone is a 3D geometric shape that tapers from a flat circular base to a single point called the apex. The formulas for the volume and surface area of a cone involve the radius of the base and the height or slant height. Word problems apply these formulas to calculate missing values like height, volume, or surface area when other values like radius or volume are given.
Volume of sphere[1]
The sphere is a three-dimensional shape with the following properties:
- It is perfectly symmetrical and has no edges or vertices.
- All points on the surface are equidistant from the center.
- It has the smallest surface area for a given volume of any shape.
- Spheres appear naturally in bubbles, water drops, and planets like Earth due to this efficient use of space.
- It can represent the simplest single point with no dimensions, and also the most complex shape containing all other shapes within it.
Cone
This document defines and explains the key elements of a cone. It defines a cone as a three-dimensional shape that tapers from a circular base to a single point called the apex or vertex. The key elements are the base, curved surface, height, slant height, and radius. It provides formulas to calculate the surface area of a cone using the radius and slant height. An example problem demonstrates how to use the given information to calculate the slant height, surface area, and height of a cone. Exercises at the end provide additional practice calculating values for cones.
Surface areas and volumes
This document provides formulas and information about the surface areas and volumes of various geometric shapes including cuboids, cubes, cylinders, cones, spheres, hemispheres and frustums. It defines each shape and provides their respective formulas to calculate total surface area, curved surface area and volume. Formulas are given for cuboid, cube, cylinder, cone, sphere, hemisphere and frustum. Additional details are provided on cylinders, cones, spheres and the related terms quadrant, sector, segment and the differences between minor and major sectors and segments.
Cone, cylinder,and sphere
The document discusses the key properties and formulas for calculating the surface areas and volumes of cones, cylinders, and spheres. It defines that a cone has a circular base and lateral surface, and a cylinder has flat, circular bases and a lateral surface. Formulas provided include: surface area of a cone = πrl + πr^2, surface area of a cylinder = 2πrh + 2πr^2, surface area of a sphere = 4πr^2, volume of a cone = (1/3)πr^2h, volume of a cylinder = πr^2h, and volume of a sphere = (4/3)πr^3. Diagrams and
Surface areas and volumes ppt
This document provides information about the surface areas and volumes of various 3D shapes including cubes, cuboids, cylinders, cones, spheres, and hemispheres. Formulas for calculating lateral surface area, total surface area, curved surface area, and volume are presented for each shape. Examples of using the formulas to solve word problems are also provided.
Glory twinkle
Presented by :
Anggun Nugraha Oktaviani
Deti Nur Karina
Fiona Salfadilla
Rifda Nadifah
Umroh Indah Lestari
SURFACE AREA AND VOLUME
This document discusses the formulas for calculating the surface areas and volumes of various 3D shapes. It covers cubes, cuboids, cylinders, cones, spheres, and hemispheres. For each shape, it provides the relevant formulas to calculate surface area (total and lateral) and volume based on attributes like length, width, height, radius, diameter, and slant height.
Cone and stuff
A cone has a circular base and a single vertex. The volume of a cone is calculated using the formula: Volume = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height. For a conical container filled with 821 1/3 cm^3 of water, the height is calculated to be 7 cm. A conical frustum is formed by slicing off the top of a cone parallel to the base. The volume and surface area of cones and conical frustums can be calculated using various formulas provided in the document.
More Related Content
What's hot
Circles&sphere
The document discusses geometric shapes related to circles such as spheres, hemispheres, and sectors. It provides formulas for calculating the surface area and volume of spheres and hemispheres. Formulas are given for finding the circumference, area, and radii of circles. The document also discusses converting between degrees and radians and formulas for calculating arc length, area of sectors, and area of segments of circles.
Volume.ppt [recovered]
This document provides information about different 3D shapes - cube, cuboid, cylinder, cone, and sphere. It defines each shape, provides examples, and describes key properties like surface area and volume formulas. Examples are also given to demonstrate calculating the volume of each shape using the relevant formula when given dimensions like side length, radius, or height.
Phalosa
The document provides information about geometric shapes including cones, spheres, and their measurements. It defines formulas for calculating the surface area and volume of cones and spheres. It then works through examples of applying the formulas to find specific measurements of given cones and spheres. Finally, it provides exercises for the reader to practice calculating surface areas, volumes, radii and other values of cones and spheres using the defined formulas.
Chapter 2.2
The document discusses the area and volume of cones. It defines key terms like cone, radius, height, slant height and explains the formulas to calculate the surface area and volume of a cone. The surface area of a cone is calculated as πr(s+r) where r is the radius and s is the slant height. The volume of a cone is calculated as 1/3πr^2h, where r is the radius and h is the height. Several examples are provided to demonstrate calculating the surface area and volume of cones using the given radii and heights.
Maths project surface area and volume by chirag jain class ix a roll no. 17
This is a presentation of the chapter Surface Area and Volume made by me. It includes the derivation of almost all formulas which are explained in NCERT of class IX
Cube, cuboid and cylinder
cube cuboid and cylinder is found .here you can learn surface area and volume of these 3 dimensional figures.it also includes basic information on the basic properties of these figures
area related to circle
This document discusses perimeter and area concepts related to circles such as circumference, radius, diameter, sectors, segments, and combinations of circles and other shapes. It provides examples of calculating the circumference and area of circles, sectors, and segments. It also gives word problems involving finding radii, circumferences, areas, and lengths of arcs and sectors for circles alone or combined with other shapes. The key formulas discussed are the circumference formula C=2πr, area of a circle formula A=πr^2, and formulas for finding sector and segment areas and arc lengths.
Mathematics ppt
A ppt on the surface area and volume of a cone with examples and good definitions which leads to a better understanding........
Surface area and volume by CHANDAN KUMAR SETHY , CLASS - 10th
Surface area and volume by CHANDAN KUMAR SETHY , CLASS - 10thjawahar navodaya vidyalaya,surangi,ganjam,odisha
POWER POINT PRESENTATION ON SURFACE AREA AND VOLUME FOR CLASS10th MATHS.it is on mensuration . we can find surface area and volume of cube.cuboid,sphere,cylinder,cone,frustum,hemi sphereVolume of a right circular cone
The document discusses different types of cones, including right circular cones. It defines key terms like height, slant height, radius, and derives the formula for the volume of a right circular cone as 1/3 * π * r^2 * h. It provides examples of using the formula to calculate volumes of cones formed in different ways.
Cones and frustum slides
The document defines and provides information about cones, conical frustums, and how to calculate their volume and total surface area. It explains that a cone tapers from a circular base to a point, and can be a right cone or oblique cone. Formulas are given for calculating the volume and total surface area of cones and conical frustums. Examples are worked through applying the formulas to calculate volume and surface area of different cone and frustum shapes.
Cones
A cone is a 3D geometric shape that tapers from a flat circular base to a single point called the apex. The formulas for the volume and surface area of a cone involve the radius of the base and the height or slant height. Word problems apply these formulas to calculate missing values like height, volume, or surface area when other values like radius or volume are given.
Volume of sphere[1]
The sphere is a three-dimensional shape with the following properties:
- It is perfectly symmetrical and has no edges or vertices.
- All points on the surface are equidistant from the center.
- It has the smallest surface area for a given volume of any shape.
- Spheres appear naturally in bubbles, water drops, and planets like Earth due to this efficient use of space.
- It can represent the simplest single point with no dimensions, and also the most complex shape containing all other shapes within it.
Cone
This document defines and explains the key elements of a cone. It defines a cone as a three-dimensional shape that tapers from a circular base to a single point called the apex or vertex. The key elements are the base, curved surface, height, slant height, and radius. It provides formulas to calculate the surface area of a cone using the radius and slant height. An example problem demonstrates how to use the given information to calculate the slant height, surface area, and height of a cone. Exercises at the end provide additional practice calculating values for cones.
Surface areas and volumes
This document provides formulas and information about the surface areas and volumes of various geometric shapes including cuboids, cubes, cylinders, cones, spheres, hemispheres and frustums. It defines each shape and provides their respective formulas to calculate total surface area, curved surface area and volume. Formulas are given for cuboid, cube, cylinder, cone, sphere, hemisphere and frustum. Additional details are provided on cylinders, cones, spheres and the related terms quadrant, sector, segment and the differences between minor and major sectors and segments.
Cone, cylinder,and sphere
The document discusses the key properties and formulas for calculating the surface areas and volumes of cones, cylinders, and spheres. It defines that a cone has a circular base and lateral surface, and a cylinder has flat, circular bases and a lateral surface. Formulas provided include: surface area of a cone = πrl + πr^2, surface area of a cylinder = 2πrh + 2πr^2, surface area of a sphere = 4πr^2, volume of a cone = (1/3)πr^2h, volume of a cylinder = πr^2h, and volume of a sphere = (4/3)πr^3. Diagrams and
Surface areas and volumes ppt
This document provides information about the surface areas and volumes of various 3D shapes including cubes, cuboids, cylinders, cones, spheres, and hemispheres. Formulas for calculating lateral surface area, total surface area, curved surface area, and volume are presented for each shape. Examples of using the formulas to solve word problems are also provided.
Glory twinkle
Presented by :
Anggun Nugraha Oktaviani
Deti Nur Karina
Fiona Salfadilla
Rifda Nadifah
Umroh Indah Lestari
SURFACE AREA AND VOLUME
This document discusses the formulas for calculating the surface areas and volumes of various 3D shapes. It covers cubes, cuboids, cylinders, cones, spheres, and hemispheres. For each shape, it provides the relevant formulas to calculate surface area (total and lateral) and volume based on attributes like length, width, height, radius, diameter, and slant height.
Cone and stuff
A cone has a circular base and a single vertex. The volume of a cone is calculated using the formula: Volume = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height. For a conical container filled with 821 1/3 cm^3 of water, the height is calculated to be 7 cm. A conical frustum is formed by slicing off the top of a cone parallel to the base. The volume and surface area of cones and conical frustums can be calculated using various formulas provided in the document.
What's hot (20)
Maths project surface area and volume by chirag jain class ix a roll no. 17
Maths project surface area and volume by chirag jain class ix a roll no. 17
Surface area and volume by CHANDAN KUMAR SETHY , CLASS - 10th
Surface area and volume by CHANDAN KUMAR SETHY , CLASS - 10th
Viewers also liked
Kerucut
Dokumen tersebut membahas tentang kerucut, termasuk definisi, unsur-unsur, luas permukaan, dan volume kerucut. Juga terdapat contoh soal dan penyelesaiannya.
Bangun ruang sisi lengkung
Ppt yang berisi materi Bangun Ruang Sisi Lengkung. Macam-macam, Unsur-unsur, luas permukaan, dan volume bangun ruang sisi lengkung tabung, kerucut serta bola.
PowerPoint Bangun Ruang BRSD dan BRSL
Persentasi Kelompok 11 (Kiki Ismayanti, Nurwaningsih, Renni Juli Yanna) Materi Bangun Ruang Sisi Datar dan Bangun Ruang Sisi Lengkung. Semoga materi yang kami buat dapat berguna. Terima kasih
Bangun ruang sisi lengkung
Dokumen tersebut membahas tentang bangun ruang tabung, kerucut, dan bola. Menguraikan unsur-unsur, rumus luas permukaan dan volume masing-masing bangun ruang tersebut. Bangun ruang tersebut ditemukan dalam berbagai benda sekitar lingkungan.
Volume Kerucut
Dokumen ini membahas tentang kerucut dan rumus untuk menghitung volume kerucut. Kerucut adalah limas segi-n beraturan dengan alas lingkaran. Rumus untuk menghitung volume kerucut adalah 1/3 x luas alas x tinggi. Contoh soal menghitung volume kerucut dengan diketahui panjang sisi-sisinya diberikan.
Bangun Ruang Sisi Lengkung
Dokumen tersebut membahas tentang unsur-unsur tabung, kerucut, dan bola serta rumus-rumus yang terkait dengan luas permukaan dan volume bangun ruang tersebut seperti luas permukaan tabung adalah 2πr(r+t).
Bangun ruang sisi lengkung
The document discusses calculating surface areas and volumes of geometric shapes like cylinders, cones, and spheres. It provides formulas for the surface area of a cylinder as 2πr(r+h) or 2πr^2 + 2πrh, the surface area of a cone as πrl + πr^2, and the surface area of a sphere as 4πr^2. Examples of using the formulas to calculate surface areas and volumes are also shown.
Luas dan volume kerucut
Salah satu tugas mata kuliah Multimedia Pendidikan Matematika Universitas Pendidikan Indonesia
Bangun Ruang Sisi Lengkung - Bola
Dokumen tersebut berisi tentang materi pelajaran volume dan luas permukaan bola, kerucut, dan tabung beserta contoh soalnya. Terdapat juga informasi dosen pengampu mata kuliah multimedia PBM matematika yaitu Prof. Dr. Zulkardi dan Dr. Ely Susanti.
Ppt kerucut
Dokumen tersebut membahas tentang kerucut, termasuk definisi kerucut, rumus untuk menghitung luas permukaan dan volume kerucut, serta contoh soal terkait kerucut.
Media Pembelajaran PowerPoint Interaktif "Bangun Ruang Sisi Lengkung"
Dokumen tersebut memberikan penjelasan tentang bangun ruang kerucut, termasuk unsur-unsur, rumus luas permukaan dan volume, serta contoh soal terkait kerucut.
BANGUN RUANG DAN ALAT PERAGA MATEMATIKA SPIMUS
PPT ini berisi materi bangun ruang dan terdapat alat peraga yang memudahkan untuk mengingat rumus" dari bangun ruang. semoga bermanfaat . -nn-
Tabung
Berikut ini adalah powerpoint yang menjelaskan tentang bangun ruang sisi lengkung khususnya pada materi tabung
*Indah Sari (06081181520085)
Viewers also liked (20)
Media Pembelajaran PowerPoint Interaktif "Bangun Ruang Sisi Lengkung"
Media Pembelajaran PowerPoint Interaktif "Bangun Ruang Sisi Lengkung"
Similar to Curved plane solid
Chapter 2.1
This document discusses cylinders and provides formulas to calculate the total surface area and volume of cylinders. It defines a cylinder as having two circular bases and a lateral face. The total surface area of a cylinder is calculated as the sum of the lateral area and twice the area of the base. The formula provided is: Total Surface Area = 2πrh + 2πr2, where r is the radius and h is the height. The volume of a cylinder is calculated as the area of the base multiplied by the height. The formula provided is: Volume = πr2h, where r is the radius and h is the height. Several example problems are provided to demonstrate how to use the formulas to calculate total surface areas and volumes
Class9 surface areas & volumes
Youtube Page: https://www.youtube.com/channel/UCkiNp6FmycGt1O9S8WNGzWA
Facebook page: https://mtouch.facebook.com/satyashibasundar.hembram?ref=bookmarks&soft=notifications
Fac book Page: https://mtouch.facebook.com/satyashibasundar.hembram?ref=bookmarks&soft=notifications
Website Page: https://www.blogger.com/blogger.g?blogID=6679945904745895873#allposts
Volume and Surface Areas
What is in here:
Cubolid
Cube
Cylinder
Cone
Sphere
Hemisphere
Conversion of units
Difference between Capacity & Volume
Topic 24 further volume and surface area
The document discusses volume and surface area formulas for various shapes including spheres, cones, pyramids, cylinders. It provides examples of calculating volumes and surface areas using the appropriate formulas. Formulas covered include volume of a sphere, cone, cylinder, pyramid as well as surface area of a sphere, cylinder, cone, and total surface area of composite shapes. Worked examples demonstrate applying the formulas to solve word problems involving various shapes.
Guía n° 06 Matemática IV
This document provides a guide for learning about revolution and round bodies. It includes information on cylinders, cones, and spheres. For cylinders, it defines key terms like height, radius, and provides formulas for calculating area and volume. Similar information and examples are given for cones and spheres. Practice problems are provided to calculate area and volume of various shapes. The document aims to help students understand and apply concepts of revolution bodies through examples, explanations, and practice problems.
12 6 surface area & volume of spheres
The document discusses the surface area and volume of spheres. It provides formulas for calculating the surface area (S=4πr^2) and volume (V=4/3πr^3) of a sphere. Several examples are worked through, applying these formulas to find surface areas and volumes of spheres given radii and other measurements. The surface area of a baseball is explained to be made up of two congruent shapes resembling two joined circles.
Mathematics Grade 9 (Surface Areas) Digital Plan - 2.pptx
This is a presentation about Grade 9 Mathematics concept - Surface areas of cube, cuboid, cylinder and cone.
Module 7 geometry of shape and size
This geometry module covers calculating the surface area of various 3D shapes. Students will learn to find the surface area of cubes, prisms, pyramids, cylinders, cones, and spheres. The document provides examples and practice problems for students to test their understanding of surface area calculations for different solids.
UNIT 4 PEA306.ppt
The document provides information about mensuration and clocks:
Mensuration deals with geometric shapes, their areas, volumes, and parameters. It discusses calculating areas and volumes of 2D and 3D shapes like rectangles, squares, triangles, circles, cubes, cylinders, and spheres. Practice questions with solutions are provided to help understand these concepts.
Clocks are also discussed. The key parts of a clock include the dial, hour and minute hands. Formulas are given to calculate the angle between the hands based on the time. Practice questions on clocks focus on reading times from analog clocks and calculating angles between the hands.
Geometry unit 11.2
This document provides instruction on calculating the surface areas of prisms and cylinders. It defines key terms like lateral face, altitude, and axis. It presents formulas for calculating the surface area of right rectangular prisms and right cylinders. Examples are provided to demonstrate calculating surface areas of various prisms and cylinders. The document also addresses how surface areas change with modifications to dimensions and provides a word problem comparing the surface areas of different shapes.
Chapter 2.3
This document discusses the area and volume of spheres. It provides the formulas for calculating the surface area and volume of a sphere. The surface area formula is A = 4πr^2 and the volume formula is V = (4/3)πr^3, where r is the radius of the sphere. It also gives examples of using these formulas to calculate the area and volume of various spheres.
chapter_13_surface_areas volume_and_volumes.pdf
The document contains solutions to exercises on surface areas and volumes from a math textbook. It includes 8 questions about calculating surface areas and volumes of composite shapes made by combining basic geometric solids like spheres, cylinders, cones, cubes. For each question, the relevant formulas are identified and calculations are shown to arrive at the final surface area or volume. The questions involve shapes like vessels, toys and hollowed solids.
C22 22.1
The document contains 19 math problems involving calculating surface areas and costs of coating cylindrical objects like wells, vessels, and pillars. The problems require calculating the curved surface area and total surface area of cylinders given dimensions like diameter, radius, and height. They also involve finding costs by applying given rates to the surface areas.
Surface Area_Volume of Solid Figures.ppt
The document provides information about calculating the surface area of cylinders and cones. It begins by defining a cylinder and its components. It then derives the formula for the surface area of a cylinder by imagining unrolling the cylinder surface. The formula is presented as SA=2πr(r+h). An example problem applying this formula is shown. Methods for finding the surface area of cones are also presented, with the formula given as the area of the base plus the lateral area. Several examples problems demonstrate applying the surface area formulas for cylinders and cones.
Solving geometry related problems
This document provides tips and examples for solving geometry problems:
- Understand the problem, be open-minded, and memorize theorems, postulates, and axioms. Translate theoretical problems into practical ones.
- Teach geometry through practical methods like creating fun, educating experiences for students and practicing solving problems.
- Examples include finding the surface area of a water tank, the width of a deck around a swimming pool, dimensions of a rectangle bent from copper wire, and using information about a square and rectangle's areas to find their dimensions.
Ammu mathe sbed
This document provides definitions and explanations related to spheres. It defines a sphere as a solid generated by revolving a semicircle about its diameter. It lists examples of spheres from daily life like balls and globes. It explains that the diameter of a sphere passes through its center and that the center and radius of the semicircle used to generate the sphere are also the center and radius of the sphere. It defines a hemisphere as half of a sphere divided by a plane passing through the center. It provides formulas for the surface area of a hemisphere and sphere and the volume of a sphere and hemisphere.
10 std Areas Related To Circle.pptx
This document contains a series of math problems related to calculating areas of circles, sectors, segments and combined regions involving circles. It includes 16 practice exercises involving concepts like finding the radius of a circle given circumference, calculating areas of sectors, segments, combined regions of overlapping circles, and real world applications involving circular regions. It is from a 10th standard math textbook focusing on areas related to circles.
Maths project
The document discusses different geometry concepts related to mensuration including cubes, cuboids, cylinders, cones, spheres and hemispheres. It defines key terms like total surface area, lateral surface area and volume. Formulas are provided to calculate surface areas and volumes of cubes, cuboids, cylinders, cones, spheres and hemispheres. Examples are given to illustrate concepts like hollow cylinders and spherical shells.
Guía N° 04 resolución de problemas matemáticos
This document provides information about three-dimensional figures, including polyhedra and bodies of revolution. It defines key terms like faces, edges, vertices and discusses the five regular polyhedra. It also covers other three-dimensional shapes like cylinders, cones, spheres and their geometric properties. Several example problems are provided to calculate surface areas and volumes of various shapes using the appropriate formulas. The learning guide aims to help students analyze relevant information on three-dimensional figures and solve practical problems involving polyhedra and bodies of revolution through group presentations and exercises.
Similar to Curved plane solid (20)
Mathematics Grade 9 (Surface Areas) Digital Plan - 2.pptx
Mathematics Grade 9 (Surface Areas) Digital Plan - 2.pptx
More from Lilis Dinatapura
Power point kubus.kelompok miftah auliya ds. 8 d
Dokumen tersebut memberikan penjelasan tentang kubus, mulai dari definisi, contoh dalam kehidupan sehari-hari, bagian-bagian kubus (titik sudut, rusuk, sisi, diagonal sisi dan ruang), jaring-jaring kubus, rumus volume dan luas permukaan kubus, beserta contoh soal dan penyelesaiannya.
Prisma kelompok nadifa
Kelompok "Prisma" beranggotakan 6 orang yang berfokus pada pembelajaran matematika untuk mendapatkan nilai baik dan menambah pengetahuan. Mereka mempelajari prisma, yakni bangun ruang dengan dua bidang sejajar dan sisi-sisi tegak, serta rumus volume dan luas permukaannya. Contoh soal dan latihan juga diberikan.
Kelompok prisma nida dkk 8 d2
Dokumen tersebut merupakan ringkasan proyek kelompok tentang prisma yang mencakup tujuan pembelajaran, sumber bacaan, definisi prisma, contoh gambar prisma dalam kehidupan sehari-hari dan di buku, unsur-unsur prisma, contoh jaring-jaring prisma, rumus luas dan volume prisma, contoh soal dan jawaban, soal latihan, serta kata-kata motivasi.
Kelompok daffa limas
Dokumen tersebut membahas tentang limas, termasuk pengertian, sifat, contoh dalam kehidupan sehari-hari, unsur-unsur, cara menggambar, jaring-jaring, rumus luas permukaan dan volume, serta contoh soal dan jawaban. Terdapat pula kata-kata mutiara dari anggota kelompok tentang keyakinan dan impian.
Tugas matematika kelas viiie
Dokumen tersebut memberikan penjelasan tentang materi balok pada pelajaran matematika kelas VIIIE. Materi tersebut mencakup pengertian dan contoh balok, unsur-unsur balok, rumus luas permukaan dan volume balok, contoh soal dan latihan, serta kata-kata bijak.
Fahmi bastian tugas kubus presentasi matematika-kubus
Dokumen tersebut merangkum pengertian, unsur-unsur, rumus, dan contoh soal terkait kubus. Dibahas tentang pengertian kubus, unsur-unsur seperti titik sudut, rusuk, bidang, diagonal, jaring-jaring, rumus volume, luas permukaan, teorema Euler, dan contoh soal terkait kubus.
Circumference angle and central angle
Dokumen ini membahas hubungan antara sudut pusat dan sudut keliling dalam lingkaran. Ada beberapa poin penting: (1) besar sudut pusat dua kali besar sudut keliling, (2) besar sudut keliling sama dengan setengah besar sudut pusat, (3) contoh soal menghitung besar sudut jika diketahui besar sudut lainnya. Dokumen ini juga membahas besar sudut ketika sudut keliling menghadap diameter lingkaran.
Latihan uts genap
Dokumen tersebut berisi 10 soal latihan UTS tentang materi geometri bidang datar dan ruang yang mencakup soal tentang keliling lingkaran, luas lingkaran, luas daerah yang diarsir, panjang lintasan sepeda, luas juring, sudut, jarak titik pusat lingkaran, panjang garis singgung persekutuan, dan panjang tali untuk mengikat pipa paralon.
Probabilityfinal 110124104351-phpapp02
This document discusses probability and experimental probability. It defines probability as the measure of how likely an event is to occur, expressed as a ratio of favorable outcomes to total possible outcomes. Experimental probability is based on repeated tests and observations to determine the chance of an outcome. The document provides examples of using probability in games involving coins, dice and spinners. It explains that probability is used in many fields like math, science, gambling and more.
Anne's group statistics task
This document contains data from a survey of students in Class IX E at SMP Negeri 2 Sindang. It includes data on [1] the average daily pocket money of students, and [2] their most difficult subjects. For pocket money, the mode is Rp10,000, the median is Rp10,000, and the mean is Rp13,103. For most difficult subjects, physics had the highest frequency of responses. The document concludes with visual representations of the data in pie charts, bar charts, and line charts.
Statistics's task 2
Statistics is the study of collecting, organizing, analyzing, and drawing conclusions from data. There are two main types of data: quantitative and qualitative. Measures of central tendency like the mean, median, and mode are used to analyze data.
The document provides an example survey given to a class about their internet usage. It summarizes the results from each question using measures of central tendency like the mean, median, and mode. It also displays the results from each question in pie charts.
Statistics
Statistics is the scientific study of collecting, organizing, analyzing, and drawing conclusions from data. It involves collecting both qualitative and quantitative data, organizing and processing the data, then presenting and analyzing it to draw conclusions. Some key aspects of statistics include determining measures of central tendency like the mean, median, and mode for simple data sets, as well as calculating values like range and frequency for grouped data. Proper sampling techniques are important to obtain representative samples from a target population.
My presentation of math
This 3 sentence document provides a summary of a math presentation given by Yusrina Nurul Ghufrani of class IX D. The presentation covered common 3D shapes including cylinders, cones and spheres.
Exercises for mid test
The document contains 8 questions about simplifying, adding, subtracting, multiplying, dividing, exponentiating, factorizing algebraic expressions, and identifying ordered pairs of relations between sets. Specifically, it asks the reader to:
1) Simplify, add, subtract, multiply, divide and exponentiate various algebraic expressions.
2) Factorize expressions such as 18x - 24, 16x^2 - 25, p^2 - 17p + 30, and 3m^2 - 6m - 9.
3) Identify the ordered pair set of the relation "x is twice of y" between the sets P = {0, 1, 2, 3, ..., 10} and Q = {0
6 1 surf_area_vol_cylinders
1) The document discusses geometric solids such as prisms, pyramids, cylinders, cones, and spheres. It provides examples and formulas for calculating the surface areas and volumes of cylinders.
2) Worksheets are included that ask students to calculate the lateral area, surface area, and volume of cylinders given dimensions like radius and height.
3) Examples show how to use the formulas to find values like radius given other known measurements like surface area and height.
6 1 surf_area_vol_cylinders
1) The document discusses geometric solids such as prisms, pyramids, cylinders, cones, and spheres. It provides examples and formulas for calculating the surface areas and volumes of cylinders.
2) Worksheets are included that ask students to calculate the lateral area, surface area, and volume of cylinders given dimensions like radius and height.
3) Examples show how to set up and solve equations to find the radius of a cylinder given its surface area and height, or to find the height of a cylinder given a diagram.
Exercises about similarity and congruences
1) If DE is parallel to CB, AE = 9cm, BC = 15 cm and 5AD = 2 AC, then find:
a) EB = 9cm
b) BC = 15cm
2) If PQ =20 cm, SR = 8cm, PT = 7cm and TS =5cm in a trapezoid with TU parallel to PQ and SR, then find the length of TU = 13cm
3) PRQ and PTS are similar triangles with equal angles and corresponding sides. If PQ = 4cm, then find the length of PQ = 4cm
4) If the triangles are like the figure with BD = 4cm and BC = 5cm,
Gambar segitiga
1) If DE is parallel to CB, AE = 9cm, BC = 15 cm and 5AD = 2 AC, then find:
a) EB = 9cm
b) BC = 15cm
2) If PQ =20 cm, SR = 8cm, PT = 7cm and TS =5cm in a trapezoid with TU parallel to PQ and SR, then find the length of TU = 13cm
3) PRQ and PTS are similar triangles with equal angles and corresponding sides. If PQ = 4cm, then find the length of PQ = 4cm
4) If the triangles are like the figure with BD = 4cm and BC = 5cm,
More from Lilis Dinatapura (20)
Fahmi bastian tugas kubus presentasi matematika-kubus
Fahmi bastian tugas kubus presentasi matematika-kubus
Recently uploaded
Walmart Business+ and Spark Good for Nonprofits.pdf
"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxMohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...Nguyen Thanh Tu Collection
https://app.box.com/s/y977uz6bpd3af4qsebv7r9b7s21935vdAzure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
How to Build a Module in Odoo 17 Using the Scaffold Method
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...National Information Standards Organization (NISO)
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.How to Add Chatter in the odoo 17 ERP Module
In Odoo, the chatter is like a chat tool that helps you work together on records. You can leave notes and track things, making it easier to talk with your team and partners. Inside chatter, all communication history, activity, and changes will be displayed.
The Diamonds of 2023-2024 in the IGRA collection
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
Hindi varnamala | hindi alphabet PPT.pdf
हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
How to Fix the Import Error in the Odoo 17
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingExcellence Foundation for South Sudan
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.How to Setup Warehouse & Location in Odoo 17 Inventory
In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.
ANATOMY AND BIOMECHANICS OF HIP JOINT.pdf
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
Recently uploaded (20)
Walmart Business+ and Spark Good for Nonprofits.pdf
Walmart Business+ and Spark Good for Nonprofits.pdf
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
BÀI TẬP BỔ TRỢ TIẾNG ANH 8 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2023-2024 (CÓ FI...
Azure Interview Questions and Answers PDF By ScholarHat
Azure Interview Questions and Answers PDF By ScholarHat
How to Build a Module in Odoo 17 Using the Scaffold Method
How to Build a Module in Odoo 17 Using the Scaffold Method
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
How to Setup Warehouse & Location in Odoo 17 Inventory
How to Setup Warehouse & Location in Odoo 17 Inventory
Curved plane solid
- 1. (BANGUN RUANG SISI LENGKUNG)
- 2. 2. Understanding properties of cylinder, cone and sphere, and find its size 2.1 Identify elements of cylinder, cone and sphere 2.2 Counting surface area and volume of cylinder, cone and sphere 2.3 Problem solving which related by cylinder, coe and sphere
- 3. 2.1 Identify elements of cylinder, cone and sphere 2.2 Counting surface area and volume of cylinder, cone and sphere 2.3 Problem solving which related by cylinder, coe and sphere
- 5. Top / lid of cylinder Right face/blanket /curved surface Based of cylinder
- 8. Curved surface = area of rectangle l = perimeter of circle Wide = height of cylinder
- 9. 1. Given that : h = 15 cm, r = 7 cm Find : a. The area of curved surface b. The surface area of cylinder
- 10. a) . The area of the curved surface b) . The surface area of the cylinder 3. Find the height of cylinder if gifen that the area of the curved surface is 880 cm², the base diameter is 14 cm. 4. Find the heght of a cylinder whose base radius is 15 cm, surface area is 5, 181 cm².
- 11. a). The base radius b). The height of the Cylinder 6. The area of the curved surface of a cylinder is 251.2 cm². If the ratio of the base radius to the height is 2 :5, find : a) Base radius b) The height of cylinder.
- 12. Buku Pelajaran MATEMATIKA Bilingual Untuk SMP/MTs Kelas IX Penulis : Suwah Sembiring Cucun Cunayah Ahmad Zaelani
- 13. Inch by inch MATH is CINCH But Yard by Yard Math is so very HARD Let’s practice as often as possible, don’t be bored