Water is leaking out of an inverted conical tank at a rate of 1100011000 cubic centimeters per min at the same time that water is being pumped into the tank at a constant rate. The tank has height 77 meters and the diameter at the top is 6.56.5 meters. If the water level is rising at a rate of 2525 centimeters per minute when the height of the water is 2.52.5 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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