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.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
Introduction to AI for Nonprofits with Tapp NetworkTechSoup
Dive into the world of AI! Experts Jon Hill and Tareq Monaur will guide you through AI's role in enhancing nonprofit websites and basic marketing strategies, making it easy to understand and apply.
Biological screening of herbal drugs: Introduction and Need for
Phyto-Pharmacological Screening, New Strategies for evaluating
Natural Products, In vitro evaluation techniques for Antioxidants, Antimicrobial and Anticancer drugs. In vivo evaluation techniques
for Anti-inflammatory, Antiulcer, Anticancer, Wound healing, Antidiabetic, Hepatoprotective, Cardio protective, Diuretics and
Antifertility, Toxicity studies as per OECD guidelines
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Exploiting Artificial Intelligence for Empowering Researchers and Faculty, In...Dr. Vinod Kumar Kanvaria
Exploiting Artificial Intelligence for Empowering Researchers and Faculty,
International FDP on Fundamentals of Research in Social Sciences
at Integral University, Lucknow, 06.06.2024
By Dr. Vinod Kumar Kanvaria
Synthetic Fiber Construction in lab .pptxPavel ( NSTU)
Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Operation “Blue Star” is the only event in the history of Independent India where the state went into war with its own people. Even after about 40 years it is not clear if it was culmination of states anger over people of the region, a political game of power or start of dictatorial chapter in the democratic setup.
The people of Punjab felt alienated from main stream due to denial of their just demands during a long democratic struggle since independence. As it happen all over the word, it led to militant struggle with great loss of lives of military, police and civilian personnel. Killing of Indira Gandhi and massacre of innocent Sikhs in Delhi and other India cities was also associated with this movement.
3. SOLIDS / bangun Ruang Standards 8, 10, 11
PYRAMID / Limas
PRISM / Prisma
CYLINDER / Tabung CONE kerucut SPHERE / Bola
3
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
5. base STUDENT’S WORKSHEET
SURFACE AREA OF CYLINDER r
h
h
r
base
Fill in the blank !
r
1. Net of cylinder (jaring jaring tabung ) : ....................and ................
2. What’ shape (bentuk) Blanket (selimut) of cylinder ........................................?
3. The weight (lebar) of rectangle =..........................Cylinder (tabung)
4. The length (panjang ) of rectangle =...........................Of Circle ( lingkaran)
5. The formula of blanket (selimut) =.................................
6. The formula base of Cylinder =...............
5
7. The formula of surface area of Cylinder =....................................................
7. SURFACE AREA OF CYLINDERS
base r
r2
h 2 rh h
r
2 r
r2
base
r
Lateral/blanket (selimut) Area:
2 rh
Total Surface Area = Lateral Area + 2(Base Area)
T= 2 r h + 2 r 2
h= height
r= radius
7
8. Standards 8, 10, 11
VOLUME OF CYLINDERS
B= r2
V = Bh
V= r2 h
h
r
CYLINDER
8
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
9. Standards 8, 10, 11
Find the lateral area, the surface area and volume of a cylinder with a
radius of 20 cm and a height of 10 cm.
Total Surface Area = Lateral Area + 2(Base Area)
T= 2 rh + 2 r2
2
10 cm T=2 ( 20 cm)( 10 cm ) +2 ( 20 cm )
20 T= 400
2 2
cm + 2(400 cm )
cm
T = 400 cm 2
+ 800 Cm2
cm 2
Lateral Area: T = 1200
L =2 rh
Volume:
L=2 (20 cm )( 10 cm )
L=400 cm2 V= r2 h
2
V= ( 20 cm ) ( 10 cm )
2
V= (400 cm )(10 cm)
3
V= 4000 cm
9
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
10. Standards 8, 10, 11
Find the lateral area and the surface area of a cylinder with a circumference
of 14 cm. and a height of 5cm.
Finding the radius: Lateral Area:
L =2 rh
C=2 r
L=2 (7 cm )(5 cm )
r= C
2 L= 70 cm2
Total Surface Area = Lateral Area + 2(Base Area)
14 T= 2 rh + 2 r2
r=
2 2
T = 2 ( 7 cm )( 5 cm ) + 2 ( 7 cm )
r=7 cm
T= 70 cm2 + 2(49 cm 2 )
T = 70 cm 2 + 98 cm 2
5 cm T = 168 cm 2
7 cm
10
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
11. Standards 8, 10, 11
Find the Volume for the cylinder below:
h
2
4
5
First we find the height:
Volume:
h 2 2 V= r2 h
5 = 4 + h2 2
V= ( 2) (3 )
25 = 16 + h2
-16 -16 V= ( 4 )(3)
4 5
h=9
2 V= 12 unit3
2
h= 9
h=3
11
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
12. Standards 8, 10, 11
2
The surface area of a right cylinder is 400 cm. If the height is 12 cm., find the
radius of the base.
We substitute values:
Total Surface Area:
Subtituting: -( 75.4 ) +
_ ( 75.4 )2 - 4(6.28 )(-400)
T= 2 r h + 2 r 2
2 400 = 2(3.14)r(12) + 2(3.14)r2 r=
T= 400 cm 2( 6.28 )
h= 12 cm 400 = 75.4 r + 6.28r 2
-400 -400 -75.4 +
_ 5685.16 + 10048
=3.14 r=
12.56
0 = 6.28r 2 + 75.4 r - 400
_
+
Using the Quadratic Formula: r = -75.4 15733.2
12.56
_
+
2 r = -75.4 125.43
-b +
_ b - 4ac 12.56
X= + -
2a
-75.4+125.43 -75.4 -125.43
2 r= r=
where: 0 = aX +bX +c 12.56
12.56
50.03 -200.83
r= r=
a= 6.28 12.56 12.56
From equation: b= 75.4 r 4 cm r -16
c= -400 12
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
13. Standards 8, 10, 11
SIMILARITY IN SOLIDS
Are this two cylinders similar?
4
6
8 3
4
= 8
6 3
These cylinders are NOT SIMILAR
13
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
14. Standards 8, 10, 11
The ratio of the radii of two similar cylinders is 2:5. If the volume of the
smaller cylinder is 40 units,3 what is the volume of the larger cylinder.
VOLUME 1 < VOLUME 2
Volume: VOLUME 1 VOLUME 2 2
V1 r1 h1
V= r2 h IF 2 2 THEN =
V1 = r1 h1 V2 = r2 h 2 V2 r2 h2
2
2
V1 2
r1 h1 V1 r1 h1 r1 h1
= AND = AND IF = = 2
V2 r2 h2
2 V2 r2 h2 They are similar r2 h2 5
Substituting values:
2
40 = 2 2 40 = 4 2 40 8
THEN =
V2 5 5 V2 25 5 V2 125
(40)(125) = 8V2
What can you conclude about the ratio of 8 8
the volumes and the ratio of the radii?
V2 = 625 units 3
14
PRESENTATION CREATED BY SIMON PEREZ. All rights reserved
15. Practice diligently don’t be give up
Remember :
-Where there is will there is away
- You can if you think you can