# Finding the Volume of a Cylinder(KS3, Year 8)

homesitemapgeometryfinding the volume of a cylinder
The volume of a cylinder is found using the formula:

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!

## Question

What is the volume of a cylinder with a radius of 5 cm and a height of 10 cm, as shown below?

## 1

Volume = πr2h
Don't forget: π is pi (≈ 3.14) and r2 = r × r (r squared).

## 2

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

Volume = π × 52 × 10

Volume = π × 5 × 5 × 10

Volume = π × 250

Volume = 3.14 × 250

Volume = 785 cm3

The volume of the cylinder with a radius of 5 cm and a height of 10 cm is 785 cm3.

## Lesson Slides

The slider below shows another real example of how to find the volume of a cylinder.

## 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...

#### Help Us Improve Mathematics Monster

• Did you spot a typo?
Please tell us using this form.

#### Find Us Quicker!

• When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add #mm to your search term.