A cylindrical container of radius ? and height ? is partially filled with a liquid whose volume is ?. If the container is rotated about its axis of symmetry with constant angular speed ? , then the container will induce a rotational motion in the liquid around the same axis. Eventually, the liquid will be rotating at the same angular speed as the container. The surface of the liquid will be convex, as indicated in the figure, because the centrifugal force on the liquid particles increases with the distance from the axis of the container. It can be shown that the surface of the liquid is a paraboloid of revolution generated by rotating the parabola about the

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