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Water is leaking out of an inverted conical tank at a rate of 11200 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 15 meters and the diameter at the top is 4.5 meters. If the water level is rising at a rate of 27 centimeters per minute when the height of the water is 2 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

`(cm^(3))/(min)`