Question

the radius of Jupiter is 11 times the radius of the earth. Calculate the ratio of the volumes of Jupiter and the earth. How many Earths can Jupiter accommodate?

Answer 1

1331 : 1
1331 earths will be accomodated

Answer 2

Let the radius of earth be x
therefore
radius of Jupiter = 11x

volume of earth = 4/3πr^2 = 4/3πx^3

Volume of Jupiter = 4/3πr^3 = 4/3π(11x)^3
Volume of Jupiter = 4/3π × 1331x^3

Ratio :-
$\frac{volume \: of \: jupiter}{volume \: of \: earth} = \frac{ \frac{4}{3}\pi 1331{x}^{3} }{ \frac{4}{3}\pi {x}^{3} } \\ \\ \frac{volume \: of \: jupiter}{ volume \: of \: earth} \: = \: \frac{1331}{1}$


the ratio is 1331 : 1