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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:  

down

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 ----

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