Q.15 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?

Let us consider Jupiter and Earth are two spheres with radii R and R’ respectively. Given in the question that radius of Jupiter is 11 times the radius of the Earth.

So, R’= 11R

Volume of sphere of radius r is given as = 4?3?r^{3}

Volume of Earth = 4?3?r^{3}

And, volume of Jupiter = ?(R^{1})^{3}

=4?3 ?(R^{1})^{3}=1331[4/3?R^{3}]

The ratio of the volume of Jupiter and earth

=volume of Jupiter volume of Earth =1331(4/3?R^{3})4/3?R^{3}=1331

Therefore, this ratio suggests that Jupiter can fit 1331 number of Earth in it.