Water is spilling out at a rate of 10,000TT cm³/minute from an inverted tank shaped like a cone, while water is being pumped into the tank at a constant rate. The tank stands 6 m tall and has a diameter of 4 meters at the top. Provided that the level of the water in the tank is increasing at a rate of 20 centimeters per minute and the height of the water is 300 centimeters, calculate the rate at which the water is being poured inside the tank.

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