Limit, Continuity and Differentiability: JEE Main 2019 Mathematics question

JEE Main 2019 · 9 Apr, Evening shift · Q2742

JEE Main 20199 Apr, Evening shiftMathematicsHardLimit, Continuity and Differentiability420× since 2002

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 :-

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JEE Main 2019 Limit, Continuity and Differentiability Question with Solution (9 Apr Evening shift, Q2742) | JEE Arc