Question

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 1

Answer:

1/64th

Step-by-step explanation:

V(Earth) = (4/3)π$R^{3}$

V(Moon) = (4/3)π$r^{3}$

$\frac{V(moon)}{V(Earth)} = \frac{(4/3)πr^{3} }{(4/3)πR^{3} } = \frac{r^{3} }{R^{3} } = (\frac{r}{R} )^{3} = (\frac{1}{4} )^{3} = 1/64$

(given the diameter of the moon is 1/4th that of the earth hence the ratio of their radii will also be 1/4)