Water is leaking out of an inverted conical tank at a rate of 14700.0 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 13.0 m and the the diameter at the top is 6.5 m. If the water level is rising at a rate of 21.0 cm/min when the height of the water is 4.5 m, find the rate at which water is being pumped into the tank in cubic centimeters per minute.

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