Not sure why is that, but I think it temporarily fills your stomach and makes it 'relax'. In my experience the same meal if hot makes me feel much more full.

I've heard that fast food joints intentionally try to serve the coldest possible drinks to make patrons feel they are hungry for another burger.

The fraction of visits that involve seconds is vanishingly small.

Actually, I have opposite preferences, so I can't really help, but I don't enjoy drinking water that isn't cold. I wind up having four or five water bottles that I cycle through refrigerating/drinking/refilling. It's kind of annoying.

I remember reading somewhere once that warm drinks are more easily absorbed by the body than cold drinks. Maybe it's something to do with that?