In a spinning cylindrical glass of water, the water's surface is a surface of revolution of what curve?

I’m interested in the curve as a function of the radius r. I have two guesses at this point. Either a parabola or a catenary. I’m not sure about it because I don’t fully understand the magnitude of the force that causes the water to move upwards in the first place.

(Assume gravitational force on the water is constant throughout the glass, don’t bother to figure in the slight variation from that)