Mathematics · 2019
JEE Main · 9 April 2019, Shift 2 · Q73
A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is tan^-1(1/2). Water is poured into it at a constant rate…
A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is $\displaystyle \tan ^{-1}\left(\frac{1}{2}\right)$. Water is poured into it at a constant rate of $\displaystyle 5$ cubic meter per minute. Then the rate (in m/min.), at which the level of water is rising at the instant when the depth of water in the tank is $\displaystyle 10$ m; is :
Official answer
(3)
$\displaystyle 1 / 5 \pi$
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