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The diameter of the moon is approximately 1/4th of the Earth. What will be the ratio of their volumes?


v = (4)/(3)\pi {r}^(2)


User Mattie
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Let A and B be two spheres with radii
r_A[tex] and [tex]r_B, respectively. The ratio between their volumes is


((4)/(3)\pi r_A^3)/((4)/(3)\pi r_B^3)=(r_A^3)/(r_B^3)=\left((r_A)/(r_B)\right)^3

So, the ratio of the volumes of two spheres is the cube of the ratio between the radii.

Since the two radii are in ratio 1:4, the two volumes will be in ratio 1:64, since 4^3=64.

So, the volume of the Earth is about 64 times the volume of the Moon.

User Amir Imani
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