( .) A 24-ft conical water tank with a downward-pointing vertex has a radius of 10 ft at its top. If water flows into the tank at a rate of 20 cubic ft/min, how fast is the depth of the water increasing when the water is 16 ft deep? (HINT: In your picture, let r be the radius of the surface of the water, let h be the height of the water, and let V be the volume of the water. You must find dh/dt when his 16, but you do not know r and dr/dt when h is 16. Use similar triangles to find these quantities.) Answer: ft/min

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