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Coffee is draining from a conical filter basket into a cylindrical coffeepot at the rate of 10 cubic inches pe?
I solved part a already. I need part b.
Coffee is draining from a conical filter basket into a cylindrical coffeepot at the rate of 10 cubic inches per minute. The conical filter basket itself measures 6 inches tall and 6 inches across its top. The diameter of the coffeepot is 6 inches.
(a) At what rate is the level of coffee in the filter falling when the level of coffee remaining in the filter is 5 inches deep?
(b) The diameter of the coffeepot is 6 inches, and as the coffee drains from the filter, the amount of coffee in the pot is increasing at the rate of 10 cubic inches per minute. What is the rate at which the level of coffee in the pot is rising?
Hint; Use V = πr²h/3 and differentiate w/respect to time. Then, try to determine the rate of the level of coffee.
Good luck!
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