A right circular cylinder is closed at both ends and must contain exactly 500 cm of liquid

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

Problem

A right circular cylinder is closed at both ends and must contain exactly 500 cm

^{3}

of liquid. For minimum total surface area, what should be the ratio of its height to its base radius (

h:r

)? (a)

1:1

(b)

1:2

(c)

2:1

(d)

\sqrt{2}:1