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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.