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

Find the ratio of their surface area.


Solution

Let the diameter of the earth be 'd'. Therefore, the diameter omoon 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

Thereforethe ratio of their surfacareas will be 1:16.


Mathematics

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