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Calculate the Volume of a Sphere

In this worksheet, students will calculate the volume of spheres, given their radii or diameters.

'Calculate the Volume of a Sphere' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Difficulty level:  

Worksheet Overview

In this activity, we are going to calculate the volume of a sphere!


You will need a scientific calculator for this activity


A sphere is a ball.


a sphere


Every point on the surface is the same distance from the centre. (The radius)


To find the volume we use this formula:


Volume = 4/3 x π x (radius)3


in short: 

V = 4/3πr3


Let's look at a question.



Calculate the volume of the sphere shown below in cm3 to 1 decimal place.


 sphere radius 4 cm



Radius, r =  4 cm

Volume =  4/3πr3 = 4 ÷ 3 x π x 43 

Use the π  button on your calculator!

V =  268.1 cm3 (1 dp)


Let's have a go at some questions now. 

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