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 accommodate?

Answer 1

1300 earths can easily be accommodated by Jupiter.

Answer 2

Given:
          Radius of Earth = 6370 km (approx.)
          Radius of Jupiter = 11 x 6370 = 70070 km

Volume of a sphere = 4/3πr³

Volume of Earth = 4/3 x 22/7 x 6370³'
                           = 1.083 x 10^12 km³

Volume of Jupiter = 4/3 x 22/7 x 70070³
                             = 1.431 x 10^15

No. of earths which can be fitted into Jupiter = Volume of Jupiter by Earth
                                                                       = 1.431 x 10^15 / 1.083 x 10^12
                                                                       = 1431 / 1.083
                                                                       = 1321

*Note: Radii of Earth and Jupiter are approximated. Therefore answer may not be exact. 

Hope this helps.....