Question

The radius of jupiter is 11 times the radius of the earth . calculate the ratio of the volume of jupiter and the Earth .how many Earth can Jupiter accommodate. best will be given brilliance answer

Answer 1

$volume \: of \: sphere = 4 \div 3\pi \: r \: cube$
radius of Earth =r
radius of Jupiter =11r
volume of earth/volume of Jupiter
=
$4 \div 3\pi \: r \: cube \div 4 \div 3\pi \: 11 \: r \: cube$
=r cube/11cube=1/11*11*11=1/1331.
Therefore approximately 1331 earth's can fit in Jupiter.