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Water is leaking out of an inverted conical tank at a rate of 10200 cubic centimeters...

Water is leaking out of an inverted conical tank at a rate of 10200 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8 meters and the diameter at the top is 5.5 meters. If the water level is rising at a rate of 22 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. Round to the nearest whole number.

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