SOLUTION: true or False The diameter of the moon is approximatelty one-fourth the diameter of Earth, hence the volume of the moon is one-fourth the volume of Earth.

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Question 206152: true or False The diameter of the moon is approximatelty one-fourth the diameter of Earth, hence the volume of the moon is one-fourth the volume of Earth.
Answer by Marth(57) About Me  (Show Source):
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The diameter of a sphere is equal to d=2r. But the volume of a sphere is equal to V=%284%2F3%29%2Api%2Ar%5E3


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%2F4
However, because the volume of a sphere has r%5E3, the ratio of the moon's radius to earth's radius is also cubed - %281%2F4%29%5E3=1%2F64

The volume of the moon is 1%2F64 the volume of Earth.