For the tank and water system of problem 30, how fast can we spin the tank before

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For the tank and water system of problem 30, how fast can we spin the tank before the bottom surface of the tank is exposed? How fast can we spin the tank before water reaches the rim?

Problem 30 :

An open, cylindrical tank of height $0.25 \mathrm{~m}$ is partially filled with water. The depth of the water is $0.1 \mathrm{~m}$, the diameter of the tank is $0.5 \mathrm{~m}$. If the tank is rotated about its vertical axis, what will be the shape of the surface of the liquid?

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