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» Volume of a sphere = \(\frac{4}{3}\)πr³ Given, diameter of the moon is approximately one fourth of the diameter of the earth Radius of moon = 1/4 × radius of the earth. Ratio of their volume = \(\frac{\frac{4}{3}\pi(\frac{r}{4})^3}{\frac{4}{3}\pi r^3}\)= 1 : 64 Volume of the moon is \(\frac{1}{64^{th}}\) times the volume of the earth.

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»

Volume of a sphere = \(\frac{4}{3}\)πr³

Given,

diameter of the moon is approximately one fourth of the diameter of the earth

Radius of moon = 1/4 × radius of the earth.

Ratio of their volume = \(\frac{\frac{4}{3}\pi(\frac{r}{4})^3}{\frac{4}{3}\pi r^3}\)= 1 : 64

Volume of the moon is \(\frac{1}{64^{th}}\) times the volume of the earth.