Question
A water tank has the shape of an inverted right
circular cone, whose semi-vertical angle is
${\tan ^{ - 1}}\left( {{1 \over 2}} \right)$. Water is poured into it at a constant
rate of 5 cubic meter per minute. The 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 10m; is :-