 # Surface Areas of Spheres

In this worksheet, students calculate the surface area of spheres, given their radii or diameters. 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 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. 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) • Question 1

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

(just write the number) 113
EDDIE SAYS
Surface Area = 4 × π × 3²
• Question 2

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

(just write the number) 804
EDDIE SAYS
Surface Area = 4 × π × 8²
• Question 3

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

(just write the number) 2830
EDDIE SAYS
Surface Area = 4 × π × 15²
• Question 4

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

(just write the number) 154
EDDIE SAYS
Surface Area = 4 × π × 3.5²
• Question 5

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

(just write the number) 1020
EDDIE SAYS
Surface Area = 4 × π × 9²
• Question 6

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

(just write the number) 2460
EDDIE SAYS
Surface Area = 4 × π × 14²
• Question 7

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

(just write the number) 5030
EDDIE SAYS
Surface Area = 4 × π × 20²
• Question 8

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

(just write the number) 452
EDDIE SAYS
Surface Area = 4 × π × 6²
• Question 9

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

(just write the number) 908
EDDIE SAYS
Surface Area = 4 × π × 8.5²
• Question 10

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

(just write the number) 7850
EDDIE SAYS
Surface Area = 4 × π × 25²
---- OR ----

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