  # Calculate the Volume of a Sphere

In this worksheet, students will calculate the volume of spheres, given their radii or diameters. 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 sphere, V, in terms of its radius, r, is:

V = 4/3πr3

Example

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs. Diameter d = 8 cm

Radius r = 8 ÷ 2 = 4 cm

Volume =  4/3πr3 = 4 ÷ 3 x π x 43  = 268.08.... ≈ 268 cm3 (3 s.f.)

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If you want to remind yourself of this formula at any point during the activity, just click on the red button and you will be able to see this introduction again.

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