The ratio of M.O.I of thin walled cylinder to M.O.I of solid sphere is _____?

The ratio of M.O.I of thin walled cylinder to M.O.I of solid sphere is _____?

Explanation

Let's denote the mass and radius of both objects as M and R, respectively.

For a thin-walled cylinder about its central axis, I_cylinder = MR².

For a solid sphere about its diameter, I_sphere = (2/5)MR².

The ratio is I_cylinder / I_sphere = MR² / ((2/5)MR²) = 5/2.