The diameter of the moon is approximately one-fourth of the diameter of the earth. What fraction of the volume of the earth is the volume of the moon?
Diameter (Earth) = d
Radius (Earth) = d/2
Diameter (Moon) = d/4
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
Now,
Volume of moon = (1/64) Volume of earth
12