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Surface Areas of Spheres

In this worksheet, students calculate the surface area of spheres, given their radii or diameters.

'Surface Areas of Spheres' worksheet

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

The formula for the surface area of a sphere, S, in terms of its radius, r, is:

S = 4πr2

 

Example

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

 

Answer

Diameter d = 8 cm

Radius r = 8 ÷ 2 = 4 cm

 

Surface Area =  4πr2 = 4 x π x 42  = 201.06.... ≈ 201 cm2 (3 s.f.)

 

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

  

 

  • ANSWERS
  • Question 1

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
113
EDDIE SAYS
Surface Area = 4 × π × 3²
  • ANSWERS
  • Question 2

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
804
EDDIE SAYS
Surface Area = 4 × π × 8²
  • ANSWERS
  • Question 3

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
2830
EDDIE SAYS
Surface Area = 4 × π × 15²
  • ANSWERS
  • Question 4

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
154
EDDIE SAYS
Surface Area = 4 × π × 3.5²
  • ANSWERS
  • Question 5

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
1020
EDDIE SAYS
Surface Area = 4 × π × 9²
  • ANSWERS
  • Question 6

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
2460
EDDIE SAYS
Surface Area = 4 × π × 14²
  • ANSWERS
  • Question 7

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
5030
EDDIE SAYS
Surface Area = 4 × π × 20²
  • ANSWERS
  • Question 8

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
452
EDDIE SAYS
Surface Area = 4 × π × 6²
  • ANSWERS
  • Question 9

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

 

 

CORRECT ANSWER
908
EDDIE SAYS
Surface Area = 4 × π × 8.5²
  • ANSWERS
  • Question 10

Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.

(just write the number)

  

 

CORRECT ANSWER
7850
EDDIE SAYS
Surface Area = 4 × π × 25²
---- OR ----

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