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 accomodate?

Answer 1

Let the radius of the Earth be R, so the radius of Jupiter be 11 R
.
= $\frac{VolumeofJupiter}{VolumeofEarth}$

= $\frac{\frac{4}{3}\left(3.14\right)(11R{)}^3}{\frac{4}{3}\left(3.14\right)(R{)}^3}=$
= $\frac{1331}{1}$
Since, the ratio of volumes is 1331:1, so Jupiter can accomodate 1331 Earths.