Which will reach the bottom first?

[Shinaolord]

You will have to use multiple equations, yes, but what I am saying is there's multiple ways to go about solving the problem. Kinematics and energy conservation.

 

[Shinaolord]

Do you mean there is static contact friction that makes it roll, but no rolling resistance that dissipates energy? If that's the case, then you can use energy conservation to find the speeds.

I just read this and your answer. Ignore my other post. I think energy conservation would be a lot easier to solve the problem with. But I could be wrong. I suggested the $\Delta t$ after reading the problem statement as that would be the time it takes for the cylinder to reach the bottom of the ramp from Top. Are you confused about how to use the math, physics, or the process, or all of the above?

 

[A.T.]

I think energy conservation would be a lot easier to solve the problem with.

Yes, and I think jbriggs444 already did that in post #25.