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

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Difficulty level:

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.

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)

• 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)

3.63
EDDIE SAYS
Radius = ³√ [(3 × 200) ÷ (4 × π)]
• 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)

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

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

3.30
EDDIE SAYS
Radius = ³√ [(3 × 150) ÷ (4 × π)]
• 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)

3.23
EDDIE SAYS
Radius = ³√ [(3 × 141) ÷ (4 × π)]
• 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)

6.20
EDDIE SAYS
Radius = ³√ [(3 × 1000) ÷ (4 × π)]
• 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)

7.10
EDDIE SAYS
Radius = ³√ [(3 × 1500) ÷ (4 × π)]
• 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)

8.42
EDDIE SAYS
Radius = ³√ [(3 × 2500) ÷ (4 × π)]
• 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)

0.620
EDDIE SAYS
Radius = ³√ [(3 × 1) ÷ (4 × π)]
• 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)

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