The volume of a sphere is
(4/3 π) x (radius)³ .
Right there, we can see that the volume of a sphere is proportional to
the cube of its radius, and the ratio of the volumes of two spheres is
the same as the cube of the ratio of their radii.
The ratio of the radii is (6,371 / 1,161) = 5.4875... (rounded) .
So the ratio of their volumes is (6,371 / 1,161)³ = (5.4875)³ = 165.24 .
Words cannot express our boundless joy when we look up
at the list of choices and see that 165 is one of them.
