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?
###### Answer :

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?r3
Volume of Earth = 4?3?r3
And, volume of Jupiter = ?(R1)3
=4?3 ?(R1)3=1331[4/3?R3]
The ratio of the volume of Jupiter and earth
=volume of Jupiter volume of Earth =1331(4/3?R3)4/3?R3=1331
Therefore, this ratio suggests that Jupiter can fit 1331 number of Earth in it.