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Volume of a Cylinder

Master volume of a cylinder with interactive lessons and practice problems! Designed for students like you!

Understanding Volume of a Cylinder

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Video explanation of this concept

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Beginner

Start here! Easy to understand

Beginner Explanation

The volume of a cylinder is found by taking the area of its circular base and multiplying by its height. Since the base area is $\pi r^2$, the formula is $V = \pi r^2 h$. This gives the space inside the cylinder in cubic units.
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Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

If a cylinder has a radius of $3$ units and a height of $5$ units, what is its volume?

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2

Real-World Problem

Question Exercise
Intermediate

Teenager Scenario

Imagine a can of soda has a radius of $2$ inches and a height of $10$ inches. Calculate its volume.
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3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

Given a cylinder with a volume of $100\pi$ cubic units and a height of $4$ units, find its radius.

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4

Challenge Quiz

Single Choice Quiz
Advanced

A cylinder has a base area of $25\pi$ square units and a height of $10$ units. What is its volume?

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Recap

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Review key concepts and takeaways

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