Draining a tank An inverted conical water tank with a

Chapter 3, Problem 29

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Draining a tank An inverted conical water tank with a height of 12 ft and a radius of 6 ft is drained through a hole in the vertex at a rate of 2 ft3>s (see figure). What is the rate of change of the water depth when the water depth is 3 ft? (Hint: Use similar triangles.) 6 ft 12 ft Out_ow 2 ft3/s

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