A solid sphere of mass M and radius R is divided into two unequal parts. The first part has a mass of
and is converted into a uniform disc of radius 2R. The second part is converted into a uniform solid sphere.
Let I₁ be the moment of inertia of the disc about its axis and I₂ be the moment of inertia of the new sphere
about its axis. The ratio I₁/I₂ is given by :