The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

  1. Maths
  2. Year 9
  3. 2D and 3D Shapes
left-icon BACK TO WORKSHEETS

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:  

Try it

Worksheet Overview

QUESTION 1 of 10

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.)

Calculate the radius, r cm, of a sphere which has a volume of 200 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

Calculate the radius, r cm, of a sphere which has a volume of 50 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

Calculate the radius, r cm, of a sphere which has a volume of 75 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

Calculate the radius, r cm, of a sphere which has a volume of 150 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

Calculate the radius, r cm, of a sphere which has a volume of 141 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

Calculate the radius, r cm, of a sphere which has a volume of 1000 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

Calculate the radius, r cm, of a sphere which has a volume of 1500 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

Calculate the radius, r cm, of a sphere which has a volume of 2500 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

Calculate the radius, r cm, of a sphere which has a volume of 1 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

The volume of the earth is approximately 1086781293000 km3.

Calculate the radius, r km, of the earth.

Give your answer to 3 sig. figs.

(Just write the number)

  • ANSWERS
  • Question 1

Calculate the radius, r cm, of a sphere which has a volume of 200 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

CORRECT ANSWER
3.63
EDDIE SAYS
Radius = ³√ [(3 × 200) ÷ (4 × π)]
  • ANSWERS
  • Question 2

Calculate the radius, r cm, of a sphere which has a volume of 50 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

CORRECT ANSWER
2.29
EDDIE SAYS
Radius = ³√ [(3 × 50) ÷ (4 × π)]
  • ANSWERS
  • Question 3

Calculate the radius, r cm, of a sphere which has a volume of 75 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

CORRECT ANSWER
2.62
EDDIE SAYS
Radius = ³√ [(3 × 75) ÷ (4 × π)]
  • ANSWERS
  • Question 4

Calculate the radius, r cm, of a sphere which has a volume of 150 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

CORRECT ANSWER
3.30
EDDIE SAYS
Radius = ³√ [(3 × 150) ÷ (4 × π)]
  • ANSWERS
  • Question 5

Calculate the radius, r cm, of a sphere which has a volume of 141 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

CORRECT ANSWER
3.23
EDDIE SAYS
Radius = ³√ [(3 × 141) ÷ (4 × π)]
  • ANSWERS
  • Question 6

Calculate the radius, r cm, of a sphere which has a volume of 1000 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

CORRECT ANSWER
6.20
EDDIE SAYS
Radius = ³√ [(3 × 1000) ÷ (4 × π)]
  • ANSWERS
  • Question 7

Calculate the radius, r cm, of a sphere which has a volume of 1500 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

CORRECT ANSWER
7.10
EDDIE SAYS
Radius = ³√ [(3 × 1500) ÷ (4 × π)]
  • ANSWERS
  • Question 8

Calculate the radius, r cm, of a sphere which has a volume of 2500 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

CORRECT ANSWER
8.42
EDDIE SAYS
Radius = ³√ [(3 × 2500) ÷ (4 × π)]
  • ANSWERS
  • Question 9

Calculate the radius, r cm, of a sphere which has a volume of 1 cm3. 

Give your answer to 3 sig. figs.

(Just write the number)

CORRECT ANSWER
0.620
EDDIE SAYS
Radius = ³√ [(3 × 1) ÷ (4 × π)]
  • ANSWERS
  • Question 10

The volume of the earth is approximately 1086781293000 km3.

Calculate the radius, r km, of the earth.

Give your answer to 3 sig. figs.

(Just write the number)

CORRECT ANSWER
6380
EDDIE SAYS
Radius = ³√ [(3 × 1086781293000) ÷ (4 × π)]
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

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
laptop

Similar activities you may like

Start your £1 trial today.
Subscribe from £10/month.