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

Question

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