A given quantity of metal is to be cast into a half cylinder with a rectangular base and semicircular ends.Show that in order that the total surface area may be minimum, the ratio of the length of the cylinder to the diameter of its semi-circular ends is pi:(pi+2)

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Arun Kumar · Answer

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A given quantity of metal is to be cast into a half cylinder with a rectangular base and semicircular ends.Show that in order that the total surface area may be minimum, the ratio of the length of the cylinder to the diameter of its semi-circular ends is pi:(pi+2)

A given quantity of metal is to be cast into a half cylinder with a rectangular base and semicircular ends.Show that in order that the total surface area may be minimum, the ratio of the length of the cylinder to the diameter of its semi-circular ends is pi:(pi+2)

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