Water is leaking out of an inverted conical tank at a rate of 12,000 cm"/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate (in cm /min) at which water is being pumped into the tank. (Round your answer to the nearest integer.) cm$/minGravel is being dumped from a conveyor belt at a rate of 20 fts/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast (in ft/min) is the height of the pile increasing when the pile is 10 ft high? (Round your answer to two decimal places.) ft/min