question_answer

A water tank has the shape of an inverted right circular cone, whose semi-vertical angle is \[{{\tan }^{-1}}\left( \frac{1}{2} \right)\]. Water is poured into it at a constant rate of 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 \[10m;\] is equal to \[\frac{k}{\pi },\] then k is

Answer:

0.2