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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)

Grade:12

1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
7 years ago
Hi


Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

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