A closed cylindrical tank is to be constructed so that its total surface area is fixed

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

A closed cylindrical tank is to be constructed so that its total surface area is fixed. For the tank to have maximum capacity, what should be the ratio of its height hh to the base radius rr? (a) h=4r3h=\dfrac{4r}{3} (b) h=2rh=2r (c) h=rh=r (d) h=3rh=3r

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