SOLUTION: The diameter of the moon is approximately one fourth the diameter of Earth, hence the volume of the moon is one fourth the volume of Earth. Is it true or false?

Question 94704: The diameter of the moon is approximately one fourth the diameter of Earth, hence the volume of the moon is one fourth the volume of Earth. Is it true or false?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The diameter of the moon is approximately one fourth the diameter of Earth, hence the volume of the moon is one fourth the volume of Earth. Is it true or false?
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d(e) = 4(d(m)) where e is earth,m is moon, d is diameter
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V(e) = (4/3)pi(4d(m)/2)^3 = (4/3)pi(8(d(m)^3))
V(m) = (4/3)pi(d(m)/2)^3 = (4/3)pi((1/8)(d(m))^3
V(e)/V(m) = 8/(1/8) = 64
The volume of the earth is 64 times the volume of the moon.
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Cheers,
Stan H.
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