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?
[3 MARKS]

Answer 1

Each point: 1 Mark

1. Planets are spherical. Volume of sphere $=\frac{4}{3}\pi r^3$

2. Ratio of volume of Jupiter to earth $=\frac{\frac{4}{3}\pi (11r{)}^3}{\frac{4}{3}\pi (r{)}^3}=\frac{1331}{1}$

3. So 1331 Earths can actually fit in Jupiter.