The diameter of the moon is approximately one-fourth of the diameter o

1.	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?
Answer» Let the diameter of Earth be x and its radius x/2. Let the diameter of moon be 1/4x and its radius be 1/8x. Volume of earth= 4/3×π×(x/2)³Volume of moon=4/3×π×(x/8)³ Ratio of volumes= {4/3×π×(x/8)³}/{4/3×π×(x/2)³}=1/8 Therefore,1/8 of earth' s volume is moon's volume

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?

Answer»

Let the diameter of Earth be x and its radius x/2.

Let the diameter of moon be 1/4x and its radius be 1/8x.

Volume of earth= 4/3×π×(x/2)³Volume of moon=4/3×π×(x/8)³

Ratio of volumes= {4/3×π×(x/8)³}/{4/3×π×(x/2)³}=1/8

Therefore,1/8 of earth' s volume is moon's volume