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Radius of Spheres

In this worksheet, children must work out the radius of spheres given their volumes.

'Radius of Spheres' worksheet

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Difficulty level:  

Worksheet Overview

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

  V = 4/3πr3

 

We can rearrange this formula to make r the subject.

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


 

Example

Calculate the radius, r cm, of a sphere which has a volume of 100 cm3

Give your answer to 3 sig. figs.

 

Answer

r3 = 3 x 100 ÷ (4 x π) = 23.873

r = 3√23.873 = 2.8794 ≈ 2.88 cm (3 s.f.)

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