There is a conical tank with radius 5 inches and height 16 inches, so that the tip points straight down. Water seeps out of this cone at a rate proportional to the sturface area of the container wihich is in contact with the water. I have noticed that when I pipe water in to the top of the cone at a rat eof 2 cubic inches a second, and the water level is 10 inches high, the water level in the cone is decreasing by 0.3 inches per second. At what rate should I add water to the cone in roder to keep the water level exactly 10 inches high?
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