A Water Hazard!

A closed cylindrical drum of Height \(H=2 \text{ m}\), Diameter \(D = 1\text{ m}\) contains water upto a height \(h = 1.5 \text{ m}\). The cylinder starts rotating with a constant angular velocity \(\omega= 20 \text{ rad/sec}\).The axis of rotation coincides with axis of cylinder and is vertical. Area(in sq.m) of the bottom of the container not covered by water is __\(\pi\)

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