Consider two uniform solid spheres where both have the same diameter, but one has twice the mass of the other. The ratio of the large moment of inertia to that of the smaller moment of inertia is
Please see the complete step by step solution in the attachment.
The moment of inertia of solid sphere I = 2/5 [ M R2 ]
Where m is the of sphere and r is radius of sphere ...
This solution is provided in 152 words in an attached .doc file. It uses mass and radius to calculate moment of inertia.