What is the formula for the volume of a cylinder?

The volume of a cylinder is given by the formula: $$V = \text{π}r^2h$$ , where r is the radius and h is the height.

How do you calculate the height of a cone if the volume and radius are known?

Rearranging the volume formula $$V = \frac{1}{3}\text{π}r^2h$$ gives: $$h = \frac{3V}{\text{π}r^2}$$ .

What is the volume of a cone with a radius of 4 cm and a height of 6 cm?

Using the formula $$V = \frac{1}{3}\text{π}r^2h$$ , the volume is: $$V = \frac{1}{3}\text{π}(4)^2(6) = 32\text{π} \text{ cm}^3$$ .

What is the volume of a pyramid with a square base of side 4 cm and a height of 5 cm?

The base area is $$B = 4^2 = 16 \text{ cm}^2$$ . Thus, the volume is: $$V = \frac{1}{3}(16)(5) = \frac{80}{3} \text{ cm}^3$$ .

What is the effect of increasing the height of a cone on its volume?

Increasing the height of a cone while keeping the radius constant will increase the volume linearly, as volume is directly proportional to height: $$V \text{ (new)} = \frac{1}{3}\text{π}r^2h_{new}$$ .

What is the volume of a cone with a diameter of 10 cm and a height of 12 cm?

First, find the radius: r = 5 cm. Then, using the formula $$V = \frac{1}{3}\text{π}r^2h$$ , the volume is: $$V = \frac{1}{3}\text{π}(5)^2(12) = 100\text{π} \text{ cm}^3$$ .

What is the volume of a cylinder with a height of 10 cm and a base radius of 2 cm?

Using the formula $$V = \text{π}r^2h$$ , the volume is: $$V = \text{π}(2)^2(10) = 40\text{π} \text{ cm}^3$$ .

What is the volume of a cone with a base area of 25 cm² and a height of 3 cm?

Using the formula $$V = \frac{1}{3}Bh$$ , the volume is: $$V = \frac{1}{3}(25)(3) = 25 \text{ cm}^3$$ .

Volume of Pyramids and Cones Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a pyramid?

Back

2.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

3.

FLASHCARD QUESTION

Front

How do you find the area of a circle?

Back

4.

FLASHCARD QUESTION

Front

What is the relationship between the volume of a cylinder and a cone with the same base and height?

Back

5.

FLASHCARD QUESTION

Front

If the radius of a cone is doubled, how does the volume change?

Back

6.

FLASHCARD QUESTION

Front

What is the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

7.

FLASHCARD QUESTION

Front

What is the volume of a pyramid with a base area of 20 cm² and a height of 9 cm?

Back

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

13 questions

[AP CSP] Binary Conversion

Flashcard

•

9th - 12th Grade

15 questions

Mathematical Concepts Flashcards

Flashcard

•

10th Grade

10 questions

Output Devices

Flashcard

•

10th Grade

10 questions

Purpose Clauses

Flashcard

•

10th - 11th Grade

13 questions

Simple Tips for Healthy Eating

Flashcard

•

10th Grade

8 questions

Asesmen Sumatif

Flashcard

•

10th Grade

16 questions

Phrasal Verbs Related to Food & Eating

Flashcard

•

10th Grade

9 questions

Parts of a Computer

Flashcard

•

9th - 12th Grade

Popular Resources on Wayground

15 questions

Fractions on a Number Line

Quiz

•

3rd Grade

20 questions

Equivalent Fractions

Quiz

•

3rd Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

$fractions$

22 questions

fractions

Quiz

•

3rd Grade

20 questions

Main Idea and Details

Quiz

•

5th Grade

20 questions

Context Clues

Quiz

•

6th Grade

15 questions

Equivalent Fractions

Quiz

•

4th Grade

20 questions

Figurative Language Review

Quiz

•

6th Grade

Discover more resources for Mathematics

25 questions

Complementary and Supplementary Angles

Quiz

•

7th - 10th Grade

12 questions

Add and Subtract Polynomials

Quiz

•

9th - 12th Grade

13 questions

Model Exponential Growth and Decay Scenarios

Quiz

•

9th - 12th Grade

27 questions

7.2.3 Quadrilateral Properties

Quiz

•

9th - 12th Grade

16 questions

Converting Improper Fractions to Mixed Numbers

Quiz

•

4th - 10th Grade

10 questions

Simplifying Expressions by Combining Like Terms

Interactive video

•

6th - 10th Grade

10 questions

Simplifying Expressions with the Distributive Property

Interactive video

•

6th - 10th Grade

10 questions

Key Features of Quadratic Functions

Interactive video

•

8th - 12th Grade