Question 206152
The diameter of a sphere is equal to {{{d=2r}}}.  But the volume of a sphere is equal to {{{V=(4/3)*pi*r^3}}}
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Because the diameter of a sphere is directly proportional to the radius by the constant 2, the ratio of the diameter of the moon to the diameter of Earth is the same as the ratio of their radii - {{{1/4}}}
However, because the volume of a sphere has {{{r^3}}}, the ratio of the moon's radius to earth's radius is also cubed - {{{(1/4)^3}}}={{{1/64}}}<br>
The volume of the moon is {{{1/64}}} the volume of Earth.