Volume of Cylinders

Presentation

•

Mathematics

•

10th Grade

•

Medium

•

CCSS.8.G.C.9, 8.7.A, CCSS.HSG.GMD.A.3

Standards-aligned

Simona Spinner

Used 7+ times

FREE Resource

7 Slides • 12 Questions

Multiple Choice

Find the volume of a cylinder with a radius of 3 cm and a height of 7 cm. Use the formula $V = \pi r^2 h$ .

$197.82$ cm³

$395.64$ cm³

$593.46$ cm³

$791.28$ cm³

Multiple Select

Sheila believes that the two cylinders shown in the diagram below have equal volumes. Is Sheila correct or incorrect? Select ALL that apply.

Sheila is incorrect. The volumes of both cylinders are not equal.

Sheila is incorrect. One of the cylinders is tilted.

Sheila is correct. When two cylinders have the same base areas and the same height, their volumes must be the same.

Sheila is correct. Both cylinders radii and height are equal, so their volumes are the same.

Sheila is correct. Using Cavalieri’s Principle and the formula $v=Bh$ or $v=\pi r^2h$ proves the volumes of the cylinders are equal.

Multiple Select

A series of coins are stacked to represent a right circular cylinder (on the left). The coins are then "slid" to represent a distorted cylinder (on the right). The same number of congruent coins was used in each stack.

Which of the following statements will be TRUE regarding these stacks of coins?

The volume of both stacks will be the same.

The area of a cross section parallel to the bases will not be equal due to the distorted nature of the second stack.

The height of the distorted stack will be slightly larger than that of the straight stack.

Cavalieri's Principle can be used in this situation to verify that the volumes of the stacks are equal.

Explanation Slide...

To find the volume of a cylinder, use the formula V = πr²h. Substituting r=3 cm and h=7 cm, V = π(3)²(7) = 63π ≈ 197.82 cm³. Therefore, the correct answer is 197.82 cm³.

Multiple Choice

A cylindrical container has a radius of 4 cm and a height of 6 cm. What is its volume? Use the formula $V = \pi r^2 h$ .

$301.4$ cm³

$603.2$ cm³

$402.4$ cm³

$201.2$ cm³

Explanation Slide...

To find the volume of a cylinder, use the formula V = πr²h. Substituting r = 4 cm and h = 6 cm, V = π(4²)(6) = 603.2 cm³. Therefore, the correct answer is 603.2 cm³.

Multiple Choice

If the volume of a cylinder is $706.5$ cm³ and the radius is 3 cm, what is the height of the cylinder? Use the formula $V = \pi r^2 h$ .

5 cm

10 cm

25 cm

20 cm

Explanation Slide...

Using the formula V = πr^2h, we can solve for h: h = V / (πr^2) = 706.5 / (π * 3^2) ≈ 25 cm. Therefore, the correct answer is 25 cm.

Multiple Choice

Which of the following is the correct formula to calculate the volume of a cylinder?

$V = \pi r h$

$V = \pi r^2 h$

$V = 2\pi r h$

$V = \pi r^2$

Explanation Slide...

The correct formula to calculate the volume of a cylinder is V = \pi r^2 h, where r is the radius and h is the height of the cylinder.

Multiple Choice

A cylindrical can has a diameter of 10 cm and a height of 12 cm. What is its volume? Use the formula $V = \pi r^2 h$ .

$942$ cm³

$1884$ cm³

$471$ cm³

$314$ cm³

Explanation Slide...

The volume of a cylinder is calculated using the formula V = πr^2h. Given diameter = 10 cm, radius = 5 cm. Substituting r = 5 cm and h = 12 cm into the formula gives V = π(5)^2(12) = 942 cm³.

Multiple Choice

Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm. Use the formula $V = \pi r^2 h$ .

$785.4$ cm³

$1570.8$ cm³

$2356.2$ cm³

$3141.6$ cm³

Explanation Slide...

To find the volume of a cylinder, use the formula V = πr²h. Substituting r = 5 cm and h = 10 cm, V = π(5)²(10) = 785.4 cm³. Therefore, the correct answer is 785.4 cm³.

Multiple Choice

A cylindrical water tank has a radius of 5 meters and a height of 8 meters. How much water can it hold? Use the formula $V = \pi r^2 h$ .

$628$ m³

$1256$ m³

$1884$ m³

$2512$ m³

Explanation Slide...

The formula for the volume of a cylinder is V = πr^2h. Substituting r = 5m and h = 8m, we get V = π(5^2)(8) = 1256 m³. Therefore, the tank can hold 1256 cubic meters of water.

Dropdown

The cylinder has a height of

and a radius of

. The shape of the base of the cylinder is a

Drag and Drop

This shape is a

. The formula for this shape is

The radius of the shape is

and the height is

. The volume of this shape is

Drag these tiles and drop them in the correct blank above

cylinder

282.74

cone

sphere

350

1/3 Bh

Math Response

Find the volume of the solid. Round to the nearest tenth.

Type answer here

Deg^°

Rad

Find the volume of a cylinder with a radius of 3 cm and a height of 7 cm. Use the formula $V = \pi r^2 h$ .

$197.82$ cm³

$395.64$ cm³

$593.46$ cm³

$791.28$ cm³

Show answer

Auto Play

Slide 1 / 19

MULTIPLE CHOICE

Similar Resources on Wayground

10 questions

Inscribed Angles (Quadrilaterals)

Presentation

•

10th Grade

16 questions

Algebra 1 FSA EOC Practice Test ~ Non-Calculator

Presentation

•

10th - 11th Grade

12 questions

Ch 5-1 Intro to Solving Systems of Equations with Graphing

Presentation

•

9th - 10th Grade

14 questions

Quadratic Key Features 7A

Presentation

•

9th Grade

12 questions

PERBANDINGAN TRIGONOMETRI PADA SEGITIGA SIKU-SIKU

Presentation

•

10th Grade

13 questions

Triangle Sum Theorem Notes

Presentation

•

10th Grade

16 questions

Special Segments of Triangles Review

Presentation

•

9th - 10th Grade

16 questions

2.3 Biconditionals

Presentation

•

10th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

10 questions

Exploring the Basics of Exponents

Interactive video

•

6th - 10th Grade

20 questions

Unit 5 Test RSC (25-26)

Quiz

•

10th Grade

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade

10 questions

Solving Two-Step Equations with Negatives

Interactive video

•

6th - 10th Grade

22 questions

Identify Vertical and Horizontal Translations

Quiz

•

9th - 12th Grade

10 questions

Exploring Equivalent Ratios and Ratio Tables

Interactive video

•

6th - 10th Grade

10 questions

Graphing Inequalities on a Number Line

Quiz

•

9th - 12th Grade