A cylindrical can

MATHEMATICS · Subjective · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives

Problem

A cylindrical can, closed at both ends, must have a volume of 1000 cm31000\,\mathrm{cm^{3}}. (i) Derive the radius and height that minimise the total surface area of the can. (ii) Use calculus to verify that the surface area obtained is the least possible.

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