Which object reaches the bottom of the ramp first, a cylinder or a sphere?

[preluderacer]

Homework Statement

A cylinder and a sphere, both solid and uniform and having the same mass and diameter, roll without slipping down the same ramp starting from rest. Both of them will reach the ground at the same time.

The Attempt at a Solution

I think the sphere will reach the ground first because has a lower rotational inertia? Is this correct?

 

[Mindscrape]

Yes, that is correct.