Chapter 16, Problem 2P

(a) Design the optimal conical container (Fig. P16.2) that has a cover and has walls of negligible thickness. The container is to hold $0.5{\text{ m}}^{\text{3}}$. Design it so that the areas of its top and sides are minimized. (b) Repeat (a) but for a conical container without a cover.

FIGURE P16.2

A conical container with a lid.