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Volumes of Spheres

In this worksheet, children must calculate the volume of spheres, given their radii or diameters.

'Volumes 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

QUESTION 1 of 10

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.

 

Answer

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.)

 

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

  

 

  • Question 1

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
113
EDDIE SAYS
Vol = 4 ÷ 3 x π × 3³
  • Question 2

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
2140
EDDIE SAYS
Vol = 4 ÷ 3 x π × 8³
  • Question 3

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
14100
EDDIE SAYS
Vol = 4 ÷ 3 x π × 15³
  • Question 4

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
180
EDDIE SAYS
Vol = 4 ÷ 3 x π × 3.5³
  • Question 5

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
3050
EDDIE SAYS
Vol = 4 ÷ 3 x π × 9³
  • Question 6

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
11500
EDDIE SAYS
Vol = 4 ÷ 3 x π × 14³
  • Question 7

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
33500
EDDIE SAYS
Vol = 4 ÷ 3 x π × 20³
  • Question 8

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
905
EDDIE SAYS
Vol = 4 ÷ 3 x π × 6³
  • Question 9

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
2570
EDDIE SAYS
Vol = 4 ÷ 3 x π × 8.5³
  • Question 10

Calculate the volume of the sphere shown below in cm3 to 3 sig. figs.

(just write the number)

  

 

CORRECT ANSWER
65400
EDDIE SAYS
Vol = 4 ÷ 3 x π × 25³
---- OR ----

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