Surface area and volume for class 9th by kuldeep Bartwal Deep
•Download as PPT, PDF•
4 likes•2,805 views
This document discusses hemispheres and provides examples of calculating various properties of hemispheres such as volume, surface area, capacity, and cost of painting. It defines a hemisphere as half of a sphere created by cutting a sphere in half with a plane through the center. It then gives formulas and step-by-step solutions for 6 examples calculating volume, surface area, radius, capacity, cost of painting, and how surface area changes with diameter. Key properties calculated include volume, surface area, radius, capacity, and cost. Formulas and multi-step calculations are demonstrated.
Report
Share
Report
Share
Recommended
Surface area and volume ssolids
The document discusses surface areas and volumes of various solid shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. It provides formulas for calculating total surface area, lateral surface area, curved surface area, and volume. Examples are given on finding volumes of combinations of solids and surface areas of blocks made of multiple shapes. Formulas are applied to problems involving finding painted areas of objects made of conical and cylindrical parts and volumes and surface areas of toys made of hemispherical and conical shapes.
surface area and volume class 10
1. The document provides formulas and examples for calculating surface areas and volumes of various 3D shapes including cubes, cuboids, cylinders, cones, and spheres.
2. Formulas given include lateral surface area, total surface area, and volume of cubes; lateral surface area, total surface area, and volume of cuboids; curved surface area, total surface area, and volume of cylinders; curved surface area, total surface area, and volume of cones; and surface area and volume of spheres.
3. Examples provided demonstrate using the formulas to calculate dimensions or quantities for various word problems involving the different 3D shapes.
Surface ARea of Prisms and Cylinders
This document discusses finding the surface area of prisms and cylinders. It provides formulas for calculating surface area of rectangular prisms as S = 2lw + 2lh + 2wh and cylinders as S = 2πr^2 + 2πrh. Examples are given of finding surface areas of various prisms and cylinders using their nets. The document ends with a lesson quiz asking the reader to find surface areas of given figures.
Volume and Surface Areas
What is in here:
Cubolid
Cube
Cylinder
Cone
Sphere
Hemisphere
Conversion of units
Difference between Capacity & Volume
Volume and surface area
A brilliant for YR 10 and YR 11 GCSE students studying volume and surface area in class also very good for revising when coming up to assessments or mock examinations.
Surface area and volumes for class 10th
This document provides formulas and descriptions for calculating the volumes and surface areas of various 3D shapes. It includes formulas for rectangular prisms, rectangular pyramids, cubes, cuboids, right circular cones, frustums of right circular cones, slant circular cones, right circular cylinders, slant circular cylinders, and spheres. Diagrams are also provided to illustrate key features of each shape.
Surface Area and Volume
This document provides information on calculating surface area and volume for various 3D shapes including prisms, cylinders, pyramids and more. It defines key terms like surface area, volume, and includes formulas and examples for finding the surface area and volume of rectangular and triangular prisms, cylinders, and pyramids using measurements of lengths, widths, heights, radii, etc. Practice problems are provided throughout for additional examples of calculating surface area and volume.
SURFACE AREAS AND VOLUMES OF SOLID FIGURES - MENSURATION
This document discusses surface areas and volumes of solid figures. It begins by defining surface area as the measure of the boundary of a solid figure, while volume is the measure of the space enclosed. It then discusses cuboids and cubes, providing formulas for their surface areas and volumes. The surface area of a cuboid is 2(lb + bh + hl) and its volume is lbh. The surface area of a cube of side a is 6a2 and its volume is a3. Several examples are given applying these formulas to problems involving cuboids, cubes, and other solids.
Recommended
Surface area and volume ssolids
The document discusses surface areas and volumes of various solid shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. It provides formulas for calculating total surface area, lateral surface area, curved surface area, and volume. Examples are given on finding volumes of combinations of solids and surface areas of blocks made of multiple shapes. Formulas are applied to problems involving finding painted areas of objects made of conical and cylindrical parts and volumes and surface areas of toys made of hemispherical and conical shapes.
surface area and volume class 10
1. The document provides formulas and examples for calculating surface areas and volumes of various 3D shapes including cubes, cuboids, cylinders, cones, and spheres.
2. Formulas given include lateral surface area, total surface area, and volume of cubes; lateral surface area, total surface area, and volume of cuboids; curved surface area, total surface area, and volume of cylinders; curved surface area, total surface area, and volume of cones; and surface area and volume of spheres.
3. Examples provided demonstrate using the formulas to calculate dimensions or quantities for various word problems involving the different 3D shapes.
Surface ARea of Prisms and Cylinders
This document discusses finding the surface area of prisms and cylinders. It provides formulas for calculating surface area of rectangular prisms as S = 2lw + 2lh + 2wh and cylinders as S = 2πr^2 + 2πrh. Examples are given of finding surface areas of various prisms and cylinders using their nets. The document ends with a lesson quiz asking the reader to find surface areas of given figures.
Volume and Surface Areas
What is in here:
Cubolid
Cube
Cylinder
Cone
Sphere
Hemisphere
Conversion of units
Difference between Capacity & Volume
Volume and surface area
A brilliant for YR 10 and YR 11 GCSE students studying volume and surface area in class also very good for revising when coming up to assessments or mock examinations.
Surface area and volumes for class 10th
This document provides formulas and descriptions for calculating the volumes and surface areas of various 3D shapes. It includes formulas for rectangular prisms, rectangular pyramids, cubes, cuboids, right circular cones, frustums of right circular cones, slant circular cones, right circular cylinders, slant circular cylinders, and spheres. Diagrams are also provided to illustrate key features of each shape.
Surface Area and Volume
This document provides information on calculating surface area and volume for various 3D shapes including prisms, cylinders, pyramids and more. It defines key terms like surface area, volume, and includes formulas and examples for finding the surface area and volume of rectangular and triangular prisms, cylinders, and pyramids using measurements of lengths, widths, heights, radii, etc. Practice problems are provided throughout for additional examples of calculating surface area and volume.
SURFACE AREAS AND VOLUMES OF SOLID FIGURES - MENSURATION
This document discusses surface areas and volumes of solid figures. It begins by defining surface area as the measure of the boundary of a solid figure, while volume is the measure of the space enclosed. It then discusses cuboids and cubes, providing formulas for their surface areas and volumes. The surface area of a cuboid is 2(lb + bh + hl) and its volume is lbh. The surface area of a cube of side a is 6a2 and its volume is a3. Several examples are given applying these formulas to problems involving cuboids, cubes, and other solids.
surface area and volume ppt
1. The document defines various 3D shapes including cubes, cuboids, cylinders, cones, spheres, and hemispheres.
2. It provides the formulas to calculate the surface area and volume of each shape. For cubes, cuboids, cylinders and cones it gives the formulas for total surface area. For spheres and hemispheres it provides the formulas for total surface area, curved surface area, and volume.
3. The document was created collaboratively by several students, with each person responsible for explaining different shapes.
25. volume & surface area
eO
The document provides 27 examples solving problems related to calculating volumes and surface areas of various geometric shapes like cubes, cuboids, cylinders, cones, spheres, and hemispheres. The key formulas used include formulas for volume and surface area of cubes, cuboids, cylinders, cones, spheres, and hemispheres. Sample problems include finding volumes and surface areas given dimensions, number of cubes or balls that can be made from a given volume, and percentage increases in volumes and surface areas when dimensions change.
Surface area and volume powerpoint
1) The document provides formulas for calculating the surface area and volume of basic geometric shapes like rectangles, triangles, circles, cylinders, prisms, and triangular prisms.
2) It explains how to identify the key dimensions needed to substitute into the formulas, like finding the radius, diameter, height, and base/length of an object.
3) Examples are provided to demonstrate applying the formulas step-by-step to calculate surface areas and volumes.
Surface areas and volumes
This document defines and provides information about common 3D shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. It describes their key properties such as the number of faces, edges, and vertices. It also provides formulas to calculate the surface area and volume of each shape.
Volume & surface area
The document summarizes formulas for calculating the volume and surface area of basic three-dimensional geometric shapes like prisms, pyramids, cylinders, and cones. It provides the general volume formulas for prisms and pyramids, which are used to calculate the volume of rectangular and circular prisms. The surface area formulas are also outlined, explaining that surface area is the total two-dimensional area on the outside of a three-dimensional figure, calculated by finding the area of each face and adding them together. Examples are worked through applying the formulas to specific shapes with given dimensions.
Surface area of a cuboid and a cube,cylinder,cone,sphere,volume of cuboid,cyl...
surface area of a cuboid and a cube,surface area of a right circular cylinder,surface area of right circular cone,surface area of a sphere,volume of cuboid,volume of cylinder,volume of right circular cone and volume of sphere.powerpoint presentation
surface area and volume
The document provides information on surface area and volume formulas and calculations for basic 3D shapes including prisms, cubes, cylinders, cones, and spheres. It defines key terms like surface area and volume and provides example calculations and formulas for finding the surface area and volume of cubes, rectangular prisms, cylinders, cones, and spheres. Diagrams and examples are included to illustrate the different shapes and how to set up the surface area and volume calculations.
Surface areas and volume
The document contains geometric formulas for calculating the surface areas and volumes of various 3D shapes including:
- Cuboids: Surface area is 2(lb + bh + hl) and volume is l x b x h
- Cubes: Surface area is 6a^2 and volume is a^3
- Cylinders: Curved surface area is 2πr(h+r), circular base area is πr^2, and volume is πr^2h
- Cones: Curved surface area of a sector is πrl, total surface area is πr^2 + πrl, and volume is 1/3πr^2h
Surface Areas and Volumes
This document discusses surface areas and volumes of combinations of 3D shapes. It begins by explaining that combinations of shapes can be broken down into their individual components to calculate surface areas and volumes. Specific examples are given of calculating the total surface area and volume of objects made of multiple solids by finding the surface area or volume of each individual solid and adding them together. New formulas for calculating the surface area and volume of frustums are also introduced.
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.
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
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.
Surface area and volume of cuboids
The document discusses calculating the surface area and volume of cuboids and prisms. It provides formulas for surface area of cuboids as the sum of the areas of the six faces. The volume of a cuboid or prism is calculated by multiplying the area of the base by the height. Examples are given of using these formulas to find surface areas and volumes of various shapes.
Volume of Solids
This document discusses how to calculate the volumes of various three-dimensional geometric figures. It provides formulas for finding the volumes of rectangular prisms, triangular prisms, cylinders, pyramids, and cones. Examples are given for each figure to demonstrate how to apply the volume formulas. A reference sheet at the end lists the key volume formulas for quick reference.
Volumes And Surface Area
The document discusses volume and surface area of different shapes. It defines volume as the amount of space a solid object takes up and provides examples of calculating volume of boxes, disks, and tins. It also defines surface area as the sum of the areas of all sides of a 3D shape and provides an example of calculating the surface area of a cuboid. The document provides practice problems for readers to calculate volume and surface area of various objects.
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 sphereMaths p.p.t
1. The document discusses the surface area formulas for various shapes including cylinders, cubes, cuboids, and cones.
2. It provides examples of calculating the surface area of a cylinder given its height and radius. The surface area equals 2πr^2 + 2πrh.
3. The document explains that a cuboid has 6 faces - two for the top and bottom, two for the sides, and two for the front and back. The total surface area is the sum of the areas of all 6 faces.
Lesson 8 4 Surface Area Of A Sphere
The document introduces the formula for calculating the surface area of a sphere. It states that the surface area of a sphere is equal to 4πr^2, where r is the radius of the sphere. The document provides two examples of using the formula to calculate the surface area of a sphere given the radius, or to find the radius given the surface area.
Surface Area Of Solids
The document discusses surface area of 3D solids including prisms, pyramids, and cylinders. It defines total surface area, lateral surface area, and provides formulas for calculating the surface area of different solids. An example problem compares the surface area of a can and box, and another calculates the surface area of the glass pyramid at the Louvre museum entrance.
Surface Area
The document defines surface area as the sum of the areas of the outer surfaces of a solid object. It provides formulas to calculate the surface area of various shapes including cubes, rectangular prisms, right square pyramids, right circular cylinders, right circular cones, and spheres. Examples are given showing how to use the formulas to find the surface area given specific measurements of each shape.
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.
Important questions for class 10 maths chapter 13 surface areas and volumes w...
1. The document contains solutions to 26 math questions about surface areas and volumes of shapes like spheres, cylinders, cones, cubes, and combinations of solids.
2. The questions cover calculating surface areas and volumes, as well as word problems involving combining or transferring volumes between shapes.
3. Many questions provide real-world contexts like tents, wells, or water storage to demonstrate applications of surface area and volume calculations.
More Related Content
What's hot
surface area and volume ppt
1. The document defines various 3D shapes including cubes, cuboids, cylinders, cones, spheres, and hemispheres.
2. It provides the formulas to calculate the surface area and volume of each shape. For cubes, cuboids, cylinders and cones it gives the formulas for total surface area. For spheres and hemispheres it provides the formulas for total surface area, curved surface area, and volume.
3. The document was created collaboratively by several students, with each person responsible for explaining different shapes.
25. volume & surface area
eO
The document provides 27 examples solving problems related to calculating volumes and surface areas of various geometric shapes like cubes, cuboids, cylinders, cones, spheres, and hemispheres. The key formulas used include formulas for volume and surface area of cubes, cuboids, cylinders, cones, spheres, and hemispheres. Sample problems include finding volumes and surface areas given dimensions, number of cubes or balls that can be made from a given volume, and percentage increases in volumes and surface areas when dimensions change.
Surface area and volume powerpoint
1) The document provides formulas for calculating the surface area and volume of basic geometric shapes like rectangles, triangles, circles, cylinders, prisms, and triangular prisms.
2) It explains how to identify the key dimensions needed to substitute into the formulas, like finding the radius, diameter, height, and base/length of an object.
3) Examples are provided to demonstrate applying the formulas step-by-step to calculate surface areas and volumes.
Surface areas and volumes
This document defines and provides information about common 3D shapes including cubes, cuboids, cylinders, cones, spheres, hemispheres, and frustums. It describes their key properties such as the number of faces, edges, and vertices. It also provides formulas to calculate the surface area and volume of each shape.
Volume & surface area
The document summarizes formulas for calculating the volume and surface area of basic three-dimensional geometric shapes like prisms, pyramids, cylinders, and cones. It provides the general volume formulas for prisms and pyramids, which are used to calculate the volume of rectangular and circular prisms. The surface area formulas are also outlined, explaining that surface area is the total two-dimensional area on the outside of a three-dimensional figure, calculated by finding the area of each face and adding them together. Examples are worked through applying the formulas to specific shapes with given dimensions.
Surface area of a cuboid and a cube,cylinder,cone,sphere,volume of cuboid,cyl...
surface area of a cuboid and a cube,surface area of a right circular cylinder,surface area of right circular cone,surface area of a sphere,volume of cuboid,volume of cylinder,volume of right circular cone and volume of sphere.powerpoint presentation
surface area and volume
The document provides information on surface area and volume formulas and calculations for basic 3D shapes including prisms, cubes, cylinders, cones, and spheres. It defines key terms like surface area and volume and provides example calculations and formulas for finding the surface area and volume of cubes, rectangular prisms, cylinders, cones, and spheres. Diagrams and examples are included to illustrate the different shapes and how to set up the surface area and volume calculations.
Surface areas and volume
The document contains geometric formulas for calculating the surface areas and volumes of various 3D shapes including:
- Cuboids: Surface area is 2(lb + bh + hl) and volume is l x b x h
- Cubes: Surface area is 6a^2 and volume is a^3
- Cylinders: Curved surface area is 2πr(h+r), circular base area is πr^2, and volume is πr^2h
- Cones: Curved surface area of a sector is πrl, total surface area is πr^2 + πrl, and volume is 1/3πr^2h
Surface Areas and Volumes
This document discusses surface areas and volumes of combinations of 3D shapes. It begins by explaining that combinations of shapes can be broken down into their individual components to calculate surface areas and volumes. Specific examples are given of calculating the total surface area and volume of objects made of multiple solids by finding the surface area or volume of each individual solid and adding them together. New formulas for calculating the surface area and volume of frustums are also introduced.
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.
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
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.
Surface area and volume of cuboids
The document discusses calculating the surface area and volume of cuboids and prisms. It provides formulas for surface area of cuboids as the sum of the areas of the six faces. The volume of a cuboid or prism is calculated by multiplying the area of the base by the height. Examples are given of using these formulas to find surface areas and volumes of various shapes.
Volume of Solids
This document discusses how to calculate the volumes of various three-dimensional geometric figures. It provides formulas for finding the volumes of rectangular prisms, triangular prisms, cylinders, pyramids, and cones. Examples are given for each figure to demonstrate how to apply the volume formulas. A reference sheet at the end lists the key volume formulas for quick reference.
Volumes And Surface Area
The document discusses volume and surface area of different shapes. It defines volume as the amount of space a solid object takes up and provides examples of calculating volume of boxes, disks, and tins. It also defines surface area as the sum of the areas of all sides of a 3D shape and provides an example of calculating the surface area of a cuboid. The document provides practice problems for readers to calculate volume and surface area of various objects.
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 sphereMaths p.p.t
1. The document discusses the surface area formulas for various shapes including cylinders, cubes, cuboids, and cones.
2. It provides examples of calculating the surface area of a cylinder given its height and radius. The surface area equals 2πr^2 + 2πrh.
3. The document explains that a cuboid has 6 faces - two for the top and bottom, two for the sides, and two for the front and back. The total surface area is the sum of the areas of all 6 faces.
Lesson 8 4 Surface Area Of A Sphere
The document introduces the formula for calculating the surface area of a sphere. It states that the surface area of a sphere is equal to 4πr^2, where r is the radius of the sphere. The document provides two examples of using the formula to calculate the surface area of a sphere given the radius, or to find the radius given the surface area.
Surface Area Of Solids
The document discusses surface area of 3D solids including prisms, pyramids, and cylinders. It defines total surface area, lateral surface area, and provides formulas for calculating the surface area of different solids. An example problem compares the surface area of a can and box, and another calculates the surface area of the glass pyramid at the Louvre museum entrance.
Surface Area
The document defines surface area as the sum of the areas of the outer surfaces of a solid object. It provides formulas to calculate the surface area of various shapes including cubes, rectangular prisms, right square pyramids, right circular cylinders, right circular cones, and spheres. Examples are given showing how to use the formulas to find the surface area given specific measurements of each shape.
What's hot (20)
Surface area of a cuboid and a cube,cylinder,cone,sphere,volume of cuboid,cyl...
Surface area of a cuboid and a cube,cylinder,cone,sphere,volume of cuboid,cyl...
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
Similar to Surface area and volume for class 9th by kuldeep Bartwal Deep
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.
Important questions for class 10 maths chapter 13 surface areas and volumes w...
1. The document contains solutions to 26 math questions about surface areas and volumes of shapes like spheres, cylinders, cones, cubes, and combinations of solids.
2. The questions cover calculating surface areas and volumes, as well as word problems involving combining or transferring volumes between shapes.
3. Many questions provide real-world contexts like tents, wells, or water storage to demonstrate applications of surface area and volume calculations.
10th maths unsolved_sample_papers_-_2-min
This document provides a sample question paper for a mathematics summative assessment for Class X. It consists of 31 questions divided into 4 sections (A, B, C, D) with varying mark values. Section A has 4 single mark questions, Section B has 6 two-mark questions, Section C has 10 three-mark questions, and Section D has 11 four-mark questions. The questions cover a range of mathematics topics including algebra, arithmetic, geometry and calculus. A marking scheme is also provided with answers and working for all questions. The paper is designed to comprehensively assess students' mathematical skills and knowledge.
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
Mensuration
Deals with the understanding of surface area and volume of solid geometrical figures-cube, cuboid, cylinder, cone and sphere
Solid geometry ii slide
This document provides information about solid geometry, including definitions of different 3D shapes like prisms, pyramids, cylinders, cones, and spheres. It describes their key properties and provides examples. It also discusses nets, which are 2D shapes that can be folded into 3D solids. The document then covers calculating the surface areas of different solids and provides examples of solving surface area problems for prisms, cylinders, cones, and spheres. It concludes with practice problems for students to calculate surface areas.
Mensuration (1)
The document discusses the formulas to calculate the area and perimeter of various plane shapes like rectangles, squares, triangles, circles, etc. It then provides examples to find the area and perimeter of these shapes. It also discusses the formulas for volume and surface area of solid shapes like cubes, cuboids and cylinders. Sample problems are given to demonstrate calculating the volume and surface area of these three-dimensional shapes.
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.
24. area
1. The document provides formulas and concepts related to geometry including triangles, quadrilaterals, circles, and other shapes.
2. It includes formulas for calculating the areas of various shapes such as rectangles, triangles, parallelograms, trapezoids, circles, and composite figures.
3. Several solved examples applying these formulas are given at the end to demonstrate calculations of lengths, widths, areas, and perimeters of different geometric shapes.
Frustum
This document defines and provides formulas for calculating properties of frustums, which are portions of solids cut between parallel planes. It defines the curved surface area and total surface area formulas for a frustum of a cone. The volume formula for a frustum of a cone is also provided. Examples are given calculating the curved surface area, total surface area, and volume for frustums of cones using the provided formulas and given variable values.
Questions of mensuration, area and volume for aptitude tests
This material is for PGPSE / CSE students of AFTERSCHOOOL. PGPSE / CSE are free online programme - open for all - free for all - to promote entrepreneurship and social entrepreneurship PGPSE is for those who want to transform the world. It is different from MBA, BBA, CFA, CA,CS,ICWA and other traditional programmes. It is based on self certification and based on self learning and guidance by mentors. It is for those who want to be entrepreneurs and social changers. Let us work together. Our basic idea is that KNOWLEDGE IS FREE & AND SHARE IT WITH THE WORLD
Questions of mensuration, area and volume for aptitude tests
The document provides 14 questions related to mensuration, area, volume, and other concepts tested in aptitude tests. It includes questions on finding the area of different shapes like circles, rectangles, triangles, as well as word problems involving distances, speeds, and rates.
Maths slides
1. The document lists the names and student IDs of 6 students.
2. It provides definitions and formulas for calculating the surface area and volume of cylinders. Examples of calculations for the surface area and volume of cylinders with given radii and heights are shown.
3. Formulas and explanations for calculating the area of circles and sectors are provided, along with examples of calculations.
STRAND 3 MEASUREMENTS.pptx GRADE 8 FOR KIDS
The document discusses various mathematical concepts related to measurement, including calculating the circumference, area, and surface area of circles, spheres, cylinders, cubes, and other shapes. Formulas are provided and examples shown for finding circumference, arc length, sector area, surface area, volume, and applying these concepts to real-world situations like construction and design problems. The document also covers financial math topics like calculating simple and compound interest, appreciation/depreciation, and hire purchase agreements.
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.
Rbse solutions for class 10 maths chapter 16
The document contains solutions to 12 math questions about calculating properties of shapes like cuboids, cylinders, and boxes. The key details are:
1) Question 1 involves finding the surface area and volume of a cuboid with dimensions 5 cm x 9 cm x 12 cm.
2) Question 8 asks how many bricks are needed to build a wall based on its dimensions and the size of each brick.
3) Several questions involve finding surface areas, volumes, or radii of cylinders given various measurements like height, diameter, curved surface area, or total surface area.
Math
The document discusses the formulas for calculating the volumes of different geometric shapes:
- The volume of a cylinder is πr2h, where r is the radius and h is the height.
- The volume of a hollow cylinder is πh(R2 - r2), where R and r are the outer and inner radii.
- The volume of a cylindrical or truncated cylindrical segment is calculated using the area of the circular base and the length.
- The volume of a sphere is (4/3)πr3, where r is the radius.
Mathematics Class Work
The document discusses the formulas for calculating the volumes of different geometric solids. It provides the formulas to calculate:
1) The volume of a cylinder as πr2h, where r is the radius and h is the height.
2) The volume of a hollow cylinder as πh(R2 - r2), where R is the outer radius and r is the inner radius.
3) The volume of a horizontal cylindrical segment as sl, where s is the area of the circular segment and l is the length of the cylinder.
4) The volume of a truncated cylinder (one with two nonparallel cut planes) as r2π(h1+h2)/2
Math
The document discusses the formulas for calculating the volumes of different geometric solids. It provides the formulas to calculate:
1) The volume of a cylinder as πr2h, where r is the radius and h is the height.
2) The volume of a hollow cylinder as πh(R2 - r2), where R is the outer radius and r is the inner radius.
3) The volume of a horizontal cylindrical segment as sl, where s is the area of the circular segment and l is the length of the cylinder.
4) The volume of a truncated cylinder (cut by two non-parallel planes) as r2π(h1+h2)/2
Maths slides
1. The document lists 6 student ID numbers.
2. It provides definitions and formulas for calculating the surface area and volume of cylinders, including examples of working through sample problems.
3. It also defines what a circle is and provides formulas for calculating the area of a circle and sectors.
Similar to Surface area and volume for class 9th by kuldeep Bartwal Deep (20)
Important questions for class 10 maths chapter 13 surface areas and volumes w...
Important questions for class 10 maths chapter 13 surface areas and volumes w...
Questions of mensuration, area and volume for aptitude tests
Questions of mensuration, area and volume for aptitude tests
Questions of mensuration, area and volume for aptitude tests
Questions of mensuration, area and volume for aptitude tests
More from LearnX365
Risk Involved Strategic Management.pptx
Strategic management involves risks that can disrupt plans and goals. Environmental factors like economic changes or new technologies threaten existing strategies. Competitive risks include price wars or counter-strategies from competitors. Operational risks are challenges implementing strategies due to issues like resource constraints. Financial risks involve insufficient funding or investments that do not perform as expected. To mitigate these risks, organizations must assess risks, maintain flexible plans, monitor progress, and be prepared to adapt their strategies when needed.
Strategic Management-Strategy and Culture.pptx
Strategy is the blueprint that guides an organization toward achieving its long-term goals. It defines where the organization wants to go and how it plans to get there.
Culture, on the other hand, is the set of shared values, beliefs, and behaviours that shape the way individuals within the organization interact and work. The relationship between these two elements is integral to strategic management.
Strategic Management-Corporate Level Strategies.pptx
Corporate level strategies are the highest level of strategic planning within an organization. These strategies focus on the overall direction and scope of the entire organization, addressing questions like which industries to compete in, how to allocate resources, and how to achieve synergy among various business units. The Portfolio Approach, Core Competence Approach, Expansion Strategy, and Retrenchment Strategy are four significant corporate-level strategies.
Human Digestive System- Mouth and Throat
The document expresses gratitude but does not provide any other details. It consists of a blank document with only the words "Thank You!!!!" written at the end, so a 3 sentence summary is not possible given the extremely limited information provided.
Parent Teacher Interaction
This document discusses the importance of parental involvement in a child's education and success in school. It provides tips for parents, such as keeping weekly contact with teachers if grades fall below average, attending parent-teacher meetings, having a goal and preparing questions in advance for meetings, and understanding a teacher's perspective. The document emphasizes exercising patience and using complaints about school as an opportunity to create a plan to help the child progress, rather than just putting pressure on them. Overall, it promotes open communication between parents and teachers to foster a child's intellectual curiosity, motivation to learn, and desire to achieve.
Population class 8
This document discusses key aspects of population including size, density, and processes of population change. It covers distribution by size and density and examines population change through migration both internally and internationally. Migration is influenced by factors like jobs, living conditions, marriage, education, politics, and climate. Population characteristics analyzed include age composition, health, literacy rates, and sex ratios.
The montane forrest for class 9
The Montane Forest, also known as the Great Himalayan Forest, has vegetation layers that vary with altitude and climate, similar to tropical and tundra regions. Between 1000-2000 meters are broadleaf trees like oak and chestnut, while between 1500-3000 meters are coniferous trees like pine, deodar, silver fir, and spruce. Above 3000 meters, temperate grasslands become common with ferns and moss, and nomadic herding is practiced; above 3500 meters, alpine grasslands and vegetation replace the grasslands.
Industries for class 8
This document discusses the classification and major industries of the world. It classifies industries based on ownership (public, private, joint), raw materials (forest, mineral, marine), and size (cottage, small, large scale). The three major industries discussed are iron and steel, textiles, and information technology. For each industry, it provides the leading producers globally and in India - for iron and steel it's the US and Jharkhand, India; for textiles it's Japan and Gujarat, India; and for information technology it's the US and Bangalore, India. It concludes with review questions about industry classification and leading producers.
Transport,communication and trade for class 8
This document discusses various modes of transportation and communication in India, including roadways, railways, pipelines, waterways, airways, and means of mass communication. It notes that transportation helps transfer technology, link traders, transport people and goods, defend the country, and shorten distances. Railways are described as having problems like old tracks, passengers without tickets, pulling emergency chains unnecessarily, and facing competition from airways. Pipelines are highlighted as avoiding delays and losses in transport while maintaining a continuous supply of oil and gas. Waterways are described as most suitable for carrying heavy, bulky goods efficiently and with less environmental impact.
Disaster Management Geography
Cyclones are regions of low atmospheric pressure that are associated with stormy weather. In a cyclone, winds blow inward from all directions towards the center, bringing turbulent weather, high velocity winds, cloudiness and rainfall. Cyclones are known by different local names around the world such as depressions in the Bay of Bengal, hurricanes in the Caribbean Sea, willy-willy in Australia, typhoons in the China Sea, and tornadoes in the USA and West Africa.
Spellethon quiz by kuldeep Bartwal Deep for class 6-8
This document outlines the structure and rules for an inter-class competition between Classes 6, 7, and 8. It consists of 5 rounds: 1) an anagram round, 2) a paper/pencil sentence completion round, 3) a visual personality identification round, 4) a spelling correction round, and 5) a rapid-fire question round. Each round focuses on a different skill and has time limits and procedures specified for participant responses. The competition provides an opportunity for students to demonstrate skills in areas like anagram solving, spelling, reading comprehension, and quick thinking.
Notice writing by kuldeep Bartwal Deep
The document discusses the format and key elements of effective notices. A notice should be issued by an organization, have a title, date, body, and signature. It should clearly communicate what event is taking place, where, when, who is eligible, and who to contact. Notices should be concise using short sentences and active voice. Visual elements like bold text can make notices more eye-catching. Sample notices are provided on topics like a neighborhood festival and science fair.
More from LearnX365 (12)
Strategic Management-Corporate Level Strategies.pptx
Strategic Management-Corporate Level Strategies.pptx
Spellethon quiz by kuldeep Bartwal Deep for class 6-8
Spellethon quiz by kuldeep Bartwal Deep for class 6-8
Recently uploaded
Benner "Expanding Pathways to Publishing Careers"
This presentation was provided by Rebecca Benner, Ph.D., of the American Society of Anesthesiologists, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
How to Predict Vendor Bill Product in Odoo 17
This slide will guide us through the process of predicting vendor bill products based on previous purchases from the vendor in Odoo 17.
Leveraging Generative AI to Drive Nonprofit Innovation
In this webinar, participants learned how to utilize Generative AI to streamline operations and elevate member engagement. Amazon Web Service experts provided a customer specific use cases and dived into low/no-code tools that are quick and easy to deploy through Amazon Web Service (AWS.)
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
Practical manual for National Examination Council, Nigeria.
Contains guides on answering questions on the specimens provided
Wound healing PPT
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the body’s response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh
How to deliver Powerpoint Presentations.pptx
"How to make and deliver dynamic presentations by making it more interactive to captivate your audience attention"
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...
Andreas Schleicher, Director of Education and Skills at the OECD presents at the launch of PISA 2022 Volume III - Creative Minds, Creative Schools on 18 June 2024.
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Aberdeen
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...Nguyen Thanh Tu Collection
https://app.box.com/s/tacvl9ekroe9hqupdnjruiypvm9rdaneGeography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Geography as discipline
Recently uploaded (20)
Leveraging Generative AI to Drive Nonprofit Innovation
Leveraging Generative AI to Drive Nonprofit Innovation
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
Traditional Musical Instruments of Arunachal Pradesh and Uttar Pradesh - RAYH...
SWOT analysis in the project Keeping the Memory @live.pptx
SWOT analysis in the project Keeping the Memory @live.pptx
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...
Andreas Schleicher presents PISA 2022 Volume III - Creative Thinking - 18 Jun...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
What is Digital Literacy? A guest blog from Andy McLaughlin, University of Ab...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
BÀI TẬP BỔ TRỢ TIẾNG ANH LỚP 9 CẢ NĂM - GLOBAL SUCCESS - NĂM HỌC 2024-2025 - ...
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
Geography as a Discipline Chapter 1 __ Class 11 Geography NCERT _ Class Notes...
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
NEWSPAPERS - QUESTION 1 - REVISION POWERPOINT.pptx
Surface area and volume for class 9th by kuldeep Bartwal Deep
- 7. When a plane through the centre of a sphere cuts it into two equal parts is called a hemisphere.
- 8. FORMULAE’S
- 9. EXAMPLE -1 A hemispherical dome of a building needs to be painted. If the circumference of the base of the dome 15.8,find the cost of painting it,given the cost of painting Rs. 10per 100cm.square.
- 10. SOLUTON-1 2x22/7x79/10x79/10 2 = 392.30 (cm ) =3920.30 =Rs.1,96,150 (Ans)
- 11. EXAMPLE-2 The circumference of the edge of a hemispherical bowl is 132cm.Find the capacity of the bowl.
- 12. SOLUTION-2 Circumference = 2 r 132 =2x22/7xr R= 132x7/2x22 R=21 Capacity=
- 13. 2/3x22/7x21x21x21 3 = 19404 cm (Ans)
- 14. EXAMPLE-3 Find the volume ,curved surface area and the total surface area of hemisphere of diameter 7 cm?
- 15. SOLUTION -3 ) =2 x14x14cm.square =(392 )cm.square =2/3x22/7x7/2x7/2x7/2 cm.cube 539/6 = 89.83cm.cube 2x22/7x2/7/2 =77cm.square
- 17. • A hemisphrical bowl is made up of steel,0.75m thick.The inner radius of the bowl is 15m . Find the outer curved surface area ?
- 18. • R = thickness + inner radius • = 0.75 + 15 = 15.75 = 2x22/7x15.75x15.75 = 1559.25m.square.
- 19. EXAMPLE-5 • The volume of hemisphere is 5544cm.square. Find its radius ?
- 20. SOLUTION -5 • • • • • • 3 5544 = 2/3x22/7x r 3 5544x7/2x22= r cube root of r =756 r = 19.63cm.cube.
- 21. EXAMPLE- 6 • If diameter of a solid hemisphere is half then its total surface area ill be decreased by 75%.
- 22. SOLUTION - 6 • Let diameter be = x • Radius = x/2 • • • • 3 (x/4) = 3 r.square./16 change in T.S.A original-new/originalx100 3 r.square / 4 -3 r.square /16 x 100 4
- 23. r.square – 3 • 12 square/4 • 9 x.square/16/3 • 3/4x100 • = 3x25 • = 75% (Ans) r.square/16/3 r r.square/4
- 24. QUESTION - 1 & 2 • Find the volume of hemisphere whose radius is 21 cm ? • ANS. 19404 cm.cube Find the total surface area and the curved surface area whose radius is 7 cm? ANS. 462 cm. square 308 cm .square
- 25. THANKYOU