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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