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## Homework Statement

Consider a hollow cylinder of mass M with an outer radius R_out = 10 cm and an unknown inner radius R_in. If the hollow cylinder is to roll down an incline in the same time as a spherical shell of the same mass and the same outer radius, calculate R_in.

## Homework Equations

I_cyl = MR^2/2 .

I_shell = 3/5(MR^2)

## The Attempt at a Solution

I think the inertia of each are equal but i'm not sure