In this formula,

**r**is the radius of the cylinder and

**h**is the height of the cylinder. The image below shows what we mean by the radius and height:

## "Find the Volume" Widget

Here is a widget to help you learn the formulas for finding the volumes of different shapes.- Click on the shape you're learning about.
- Click on the pad to start.
- Follow the instructions in the bottom-left corner.
- On the last click, the formula, workings, and answer will appear in the yellow box.
- Enjoy!

## How to Find the Volume of a Cylinder

## Question

What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm, as shown below?## Step-by-Step:

## 1

## 2

Substitute the radius and the height into the formula. In our example, r = 5 and h = 10.

Volume = π × 5^{2} × 10

Volume = π × 5 × 5 × 10

Volume = π × 250

Volume = 3.14 × 250

Volume = 785 cm^{3}

## Answer:

The volume of the cylinder with a radius of 5 cm and a height of 10 cm is 785 cm^{3}.

## What Is a Cylinder?

A cylinder has two ends that are circles that are parallel to each other and are joined by a curved surface.## A Sphere in a Cylinder

If a sphere is placed in a cylinder, the volume of the sphere is exactly two-thirds the volume of the cylinder. Can you work out why?## A Cone in a Cylinder

If a cone is placed in a cylinder, the volume of the cone is exactly a third of the volume of the cylinder. Can you work out why?## You might also like...

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