# Calculate the Volume of a Cone

In this worksheet, students will calculate the volume of cones, given their height and base diameter.

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Popular topics:   Geometry worksheets

Difficulty level:

#### Worksheet Overview

The formula for the volume of a cone, V, in terms of its base radius, r, is:

This is similar to the formula for the volume of a cylinder, but remember to divide by 3.

Example

Calculate the volume of the cone shown below in cm3 to 3 significant figures.

Diameter d = 8 cm

Radius r = 8 ÷ 2 = 4 cm

Height h = 10 cm

Volume = 1/3πr2

(π x 42 x 10) ÷ 3 = 167.55.... ≈ 168 cm3 (3 s.f.)

It is important to get the order correct in these calculations!

Did you spot the brackets around most of the equation?

We need to do all the multiplication in the brackets before dividing by 3.

Let's try some questions now.

### What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started