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24-A tank is filled with water is in the shape of an inverted cone 20 ft. high with a circular base (on top) whose radius
24-A tank is filled with water is in the shape of an inverted cone 20 ft. high with a circular base (on top) whose radius is 5 ft. water is running out of the bottom of the tank at the constant rate of 2 ft3/min. How fast is the water level falling when the water is 8 ft. deep? In class we worked on problem 24 and we found out that the height was changing approximately at a rate of 0.16 ft/min when h=8. Here is a different version of the same problem: Remove the last sentence and replace it by "How fast the radius of the water inside the tank is changing when r:2 ft.?" Use some of the facts and formulas already established. No need to repeat them. For extra 3 points: Compare your answer with the answer to the original problem. Would it be possible to find the rate of decrease in the radius by knowing the rate of decrease in the height? How and why
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