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Question

Question 7
The diameter of the moon is approximately one-fourth of the diameter of the earth.

Find the ratio of their surface area.

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Solution

Let the diameter of the earth be 'd'. Therefore, the diameter of moon will be d4.

Radius of the earth = d2

Radius of the moon = 12×d4=d8

The surface area of sphere = 4π r2

Surface area of the moon

=4π(d8)2

Surface area of the earth
=4π(d2)2

Required ratio
=464=116

Therefore, the ratio of their surface areas will be 1:16.


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