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The diameter of the Moon is approximately one-fourth of the diameter of the Earth. What is the ratio (approximate) of their volumes?

Correct Answer: 1 : 64

Explanation:

Given that, the diameter of moon is approximately one-fourth of the diameter of Earth.
Let radius on moon = r
Then, radius of Earth = 4r
∴ Volume of Moon/Volume of Earth
= [(4/3)πr3] / [(4/3)π(4r)3]
= [r3] / [64r3] = 1/64 = 1 : 64


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