Water is leaking out of an inverted right conical tank at a rate of 0.0115 m^3/min. At the same time water is being pumped into the tank at a constant rate. The tank has height 11 meters and the diameter at the top is 7 meters. If the water level is rising at a rate of 0.17 m/min when the height of the water is 2.5 meters, find the rate at which water is being pumped into the tank.
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