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Surface Areas and Volumes
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29/07/2021 10:58 am
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The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.
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29/07/2021 11:01 am
If diameter of earth is said d, then the diameter of moon will be d/4 (as per given statement)
Radius of earth = d/2
Radius of moon = 1/2 × d/4 = d/8
Surface area of moon = 4π(d/8)2
Surface area of earth = 4π(d/2)2
Ratio of their surface areas = \(\frac{4π(\frac{d}{8})^2}{4π(\frac{d}{8})^2}\)
= \(\frac{4}{64}\) = \(\frac{1}{16}\)
The ratio between their surface areas is 1:16.