# Answer on Calculus Question 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 fixed length d, determine the ratio r/h that maximizes

the volume of the barrel.

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 fixed length d, determine the ratio r/h that maximizes

the volume of the barrel.

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