A right circular cylinder has fixed volume

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

Problem

500\pi\,\text{cm}^{3}

. Let

r

(in centimeters) denote the radius of its base. For which value of

r

is the surface-area-to-volume ratio of the cylinder minimized? (a)

9.4

(b)

7.9

(c)

6.3

(d)

5.0