Question

the radius of moon is approximately sixth of the radius of a planet.Find the ratio of their volumes.

Answer 1

formula of volume=v=4/3 πr^3

where r=radius

radius of planet=r

radius of moon as compare to planet=1/6r

volume of moon=v=(4/3)π(1/6)^3

volume of moon=v=(4/3)π1/216

and volume of moon=(4/3)π1/r

comparing both volumes=(4/3)π1/216=(4/3)π1/r

hence

ration between volume  of moon and planet is

hence

ratio between radius of moon and satelite

1/216