Water is leaking out of an inverted conical tank at a rate of [math] [math] at the same time that water is being pumped into the tank at a constant rate. The tank has height [math] and the the diameter at the top is [math]. If the water level is rising at a rate of [math] when the height of the water is [math], find the rate at which water is being pumped into the tank in cubic centimeters per minute.

Answer: [math]

Hint:

Solution: