Given: The diameter of the moon is approximately one-fourth of the diameter of the earth.
Diameter (Earth) = d, then Radius (Earth) = d/2
Diameter (Moon) = d/4, then Radius (Moon) = d/8
Volume (Moon) = 4πr3/3
= (4/3) × π × (d/8)3
= (1/512) × (4/3) πd3
Volume (Earth) = 4πr3/3
= (4/3) × π × (d/2)3
= (1/8) × (4/3) πd3
Volume of moon = (1/64) Volume of earth
Note: You can also solve this by taking diameter of earth as x and then diameter of moon will be x/4.
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