A barrel has the shape of a cylinder, with top and bottom present. What is the maximum volume of the barrel..

Question

A barrel has the shape of a cylinder, with top and bottom present. What is the maximum volume of the barrel that can be made using one square of material?

Answer 1

Surface area is A = 2 pi r h + 2 pi r^2 = 1

That's a constant. You're optimizing V = pi r^2 h.

How you do it depends on what class you're in.