A right circular cylinder is to contain a fixed volume

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

V

. Let

r

be the radius and

h

the height of the cylinder. Which of the following relationships between

h

and

r

minimizes the total surface area of the cylinder? (a)

h=r

(b)

h=\dfrac{r}{2}

(c)

h=2r

(d)

h=3r