Water is leaking out of an inverted conical tank at a rate of [math] cubic centimeters per minute at the same time that water is being pumped into the tank at a constant rate. The tank has height [math] meters and the diameter at the top is [math] meters. If the water level is rising at a rate of [math] centimeters per minute when the height of the water is [math] meters, find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Your answer: cubic centimeters per minute.