Water is leaking out of an inverted conical tank at a rate o

Water is leaking out of an inverted conical tank at a rate of 8100cm^3/min at the same time water is being pumped into the tank at a constant rate. The tank has a height of 9 meters and the diameter at the top is 5 meters. If the water level is rising at a rate of 10 cm/min when the height of the water is 2 meters, find the rate at which water is being pumped into the tank.

Solution

according to bernouli,s equation rate of water flow remains the same so rate is 8100cm^3/min
Water is leaking out of an inverted conical tank at a rate of 8100cm^3/min at the same time water is being pumped into the tank at a constant rate. The tank has

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