A Water Hazard!

A closed cylindrical drum of Height H = 2 m H=2 \text{ m} , Diameter D = 1 m D = 1\text{ m} contains water upto a height h = 1.5 m h = 1.5 \text{ m} . The cylinder starts rotating with a constant angular velocity ω = 20 rad/sec \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 _ _ π \pi

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The answer is 0.0125.

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