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Water is leaking out of an inverted conical tank at a rate of 11400 cm^3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 8.0m and the the diameter at the top is 3.5m. If the water level is rising at a rate of 19.0cm/min when the height of the water is 4.5m , find the rate at which water is being pumped into the tank in cubic centimeters per minute.

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