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Answer to Question #18793 in Calculus for hsd

Question #18793
Assume that all barrels of wine have precisely cylindrical shape of
radius r and height h. The wine merchant prices each barrel by the length d of a dipstick that
can be inserted diagonally through a hole in the center of the top disc of the barrel and that
reaches the edge of the bottom. For a fi xed length d, determine the ratio r/h that maximizes
the volume of the barrel.
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