A cylindrical can must be manufactured so that its total surface area

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

Problem

A cylindrical can must be manufactured so that its total surface area, including two lids, is

150\pi\text{ cm}^2

. To maximize the can’s volume, what should be the radius of its base, in centimeters? (a)

6

(b)

5

(c)

4

(d)

\sqrt{50}