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An inverted conical water tank with a height of 16 ft and a radius of...

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Calculus

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An inverted conical water tank with a height of 16 ft and a radius of 8 ft is drained through a hole in the vertex at a rate of 5 ft s see figure What is the rate of change of the water depth when the water depth is 2 ft Hint Use similar triangles 8 ft 16 ft Let V be the volume of water in the tank and let h be the depth of the water Write an equation that relates V and h Type an exact answer using as needed

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