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JEE MATHEMATICS MCQ: RATE MEASURE

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Application +4 | -1

A solid cylinder of height

H

has a conical portion of same height and radius

1 / 3 r d

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

View answer and explanation

Correct option: C

\frac{H^2}{6}

Option C

\frac{H^2}{6}

is correct because it is the time calculated by equating the rate of water accumulation to the volume of the conical portion.

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