A storage vessel is formed by attaching two identical hemispherical ends to a…
MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
A storage vessel is formed by attaching two identical hemispherical ends to a right-circular cylindrical middle section. The total internal volume must be 2 000 m3. Let h be the height of the cylindrical section and r the common radius. Determine the value of the ratio h/r that minimizes the external surface area of the vessel.