Problem

A solid cylinder of height H has a conical portion of same height and radius 1/3rd of height removed from it. Rain water is accumulating in it, at the rate equal to

\pi

times the instantaneous radius of the water surface inside the hole, the time after which hole will filled with water is a.

\frac{H^2}{3}

H^2

\frac{H^2}{6}

\frac{H^2}{4}

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