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I'm trying to get a nice rounded end to a cylinder. When I add a subsurface modifier plus an edge loop, the edge looks 'choppy':

enter image description here

Is there a way I can get this smooth? I've done this previously, but this was by adding a sphere at the ends. It would be nice to not have to add extra objects if possible.

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Yup, topo. More than one solution:

enter image description here

Left is unchanged. Middle has control loops for the outside and the cap (your pic is missing the control loops for the cap) which can be made with 1 loop cut (ctrl r) and 1 face inset (i). Rightmost has edges marked as sharp (ctrl e menu) and creased (shift e) for subsurf.

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