Consider the can shown in Figure 8.40, which has capacity 500 ml. The cost of manufacture is

Question:

Consider the can shown in Figure 8.40, which has capacity 500 ml. The cost of manufacture is proportional to the amount of metal used, which in turn is proportional to the surface area of the can. Ignoring the overlaps necessary for the manufacture of the can, find the diameter and height of the can which minimizes its cost.

500 ml Figure 8.40 d cm hcm 3 mm