What is the surface area of a cylinder with a radius of 3 and a height of 7?

The surface area is calculated as $$2\pi(3)(7) + 2\pi(3)^2 = 188.4 m^2$$ .

If the radius of a cylinder is doubled, how does that affect the surface area?

If the radius is doubled, the surface area increases by a factor of four, since surface area is proportional to $$r^2$$ .

What is the formula for the lateral surface area of a cylinder?

The lateral surface area of a cylinder is given by the formula: $$2\pi rH$$ .

How do you find the height of a cylinder if you know the volume and radius?

Rearranging the volume formula $$V = \pi r^2 H$$ gives: $$H = \frac{V}{\pi r^2}$$ .

What is the total surface area of a cylinder with a radius of 6 and a height of 4?

The total surface area is calculated as $$2\pi(6)(4) + 2\pi(6)^2 = 376.99 m^2$$ .

What is the effect of increasing both the radius and height of a cylinder on its volume?

Increasing both the radius and height will increase the volume significantly, as both factors are multiplied in the volume formula.

If a cylinder has a volume of 1000 units³ and a radius of 5, what is its height?

Using the formula $$H = \frac{V}{\pi r^2}$$ , the height is approximately 12.73 units.

What is the surface area of a cylinder with a radius of 2 and a height of 5?

The surface area is calculated as $$2\pi(2)(5) + 2\pi(2)^2 = 62.83 m^2$$ .

Volume and surface area of cylinders Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the formula for the surface area of a cylinder?

Back

2.

FLASHCARD QUESTION

Front

How do you calculate the volume of a cylinder?

Back

3.

FLASHCARD QUESTION

Front

What does the symbol π represent in the context of cylinders?

Back

The symbol π (pi) represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14.

4.

FLASHCARD QUESTION

Front

If a cylinder has a radius of 4 and a height of 3, what is its surface area?

Back

5.

FLASHCARD QUESTION

Front

What is the total surface area of a cylinder with a height of 10 and a radius of 5?

Back

6.

FLASHCARD QUESTION

Front

What is the relationship between the radius and the volume of a cylinder?

Back

7.

FLASHCARD QUESTION

Front

How does changing the height of a cylinder affect its volume?

Back

Create a free account and access millions of resources

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

9 questions

Inequalities

Flashcard

•

9th Grade

10 questions

commas in a series

Flashcard

•

KG - University

15 questions

Function Flashcard

Flashcard

•

8th - 12th Grade

10 questions

Common Phrasal Verbs and Their Meanings

Flashcard

•

10th Grade - University

10 questions

الوجهات السّياحيّة

Flashcard

•

7th Grade - University

10 questions

High Note 2. Unit 1. Test your vocabulary

Flashcard

•

10th Grade

10 questions

Essential Statistics Concepts

Flashcard

•

12th Grade

11 questions

Climate Change and Its Causes

Flashcard

•

KG

Popular Resources on Wayground

25 questions

Multiplication Facts

Quiz

•

5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

Quiz

•

5th Grade

10 questions

The Best Christmas Pageant Ever Chapters 1 & 2

Quiz

•

4th Grade

12 questions

Unit 4 Review Day

Quiz

•

3rd Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

14 questions

Christmas Trivia

Quiz

•

5th Grade

15 questions

Solving Equations with Variables on Both Sides Review

Quiz

•

8th Grade

Discover more resources for Mathematics

5 questions

Triangle Congruence Theorems

Interactive video

•

9th - 12th Grade

20 questions

Triangle Congruence Theorems

Quiz

•

9th Grade

20 questions

Solving One-Step Equations

Quiz

•

6th - 9th Grade

15 questions

Graphing Systems of Equations

Quiz

•

8th - 9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

14 questions

Model and Solve Linear Equations

Quiz

•

9th - 12th Grade

10 questions

Test Your Christmas Trivia Skills

Interactive video

•

6th - 10th Grade

17 questions

Identify Linear and Nonlinear Functions

Quiz

•

8th - 12th Grade