# How to smooth a curved surface without it looking like a paper plate? [duplicate]

I have always had issues with curved surfaces, like the foot of a wine glass, for instance, but I have found that with smoothing them, it makes them to look like either a pancake or a paperplate, here is a fine example of this cylinder that I used the subserf modifier on:

It's just a simple cylinder:

And when I subsurf it, it makes like these ridges in the middles of what would be the tris.