Question

Water is leaking out of an inverted conical tank at a rate of 14000.0 \textrm{cm}^3/\textrm{min} at the same time that water is being pumped into the tank at a constant rate. The tank has height 7.0 \ \textrm{m} and the the diameter at the top is 4.5 \ \textrm{m}. If the water level is rising at a rate of 20.0 \ \textrm{cm}/\textrm{min} when the height of the water is 1.0 \ \textrm{m}, find the rate at which water is being pumped into the tank in cubic centimeters per minute.