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

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