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A Cylindrical Tank of Height 16 Feet Is Filled with Water

Question 167

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A cylindrical tank of height 16 feet is filled with water. Suppose a jet of water flows through an orifice on the tank. It can be shown that the range R (in feet) of the jet of water is given by R=2x(16x)R=2 \sqrt{x(16-x)} .
Where should the orifice be located so that the jet of water will have the maximum range?  A cylindrical tank of height 16 feet is filled with water. Suppose a jet of water flows through an orifice on the tank. It can be shown that the range R (in feet) of the jet of water is given by  R=2 \sqrt{x(16-x)}  . Where should the orifice be located so that the jet of water will have the maximum range?

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Halfway up the side ...

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