Water is leaking out of an inverted conical tank at a rate of 5800 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 6.5 meters. If the water level is rising at a rate of 28 centimeters per minute when the height of the water is 1 meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
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