A closed right circular can must contain of liquid

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

A closed right circular can must contain

1000\,\text{cm}^3

of liquid. Let

r

be the radius (in cm) and

h

the height (in cm). Find the ratio

\dfrac{h}{r}

that minimizes the total surface area of the can.