Water is filled into a right inverted conical tank at a constant rate of 3m3/sec, whose semi vertical angle is cos−145. The rate (in m/sec), at which the level of water is rising at the instant when the depth of water in the tank is 4m, is

Water is filled into a right inverted conical tank at a constant rate

1.	Water is filled into a right inverted conical tank at a constant rate of 3m3/sec, whose semi vertical angle is cos−145. The rate (in m/sec), at which the level of water is rising at the instant when the depth of water in the tank is 4m, is
Answer» Water is filled into a right inverted conical tank at a constant rate of $3 m^{3} /sec,$ whose semi vertical angle is ${cos}^{- 1} \frac{4}{5} .$ The rate $(in m /sec),$ at which the level of water is rising at the instant when the depth of water in the tank is $4 m,$ is