Beverage manufacturer uses cylindrical cans with a radius r and height h. Find the ratio between r and h where you use the least material to create the can containing a fixed volume V? What is the minimum quantity of materials as a function of V? Use solutions which make use of the Lagrange multipliers.

Question

Beverage manufacturer uses cylindrical cans with a radius r and height h. Find the ratio between r and h where you use the least material to create  the can containing a fixed volume V? What is the minimum quantity of materials as a function of V? Use solutions which make use of the Lagrange multipliers.

mimi_x3 · Answer

minimize the surface area that gives you volume

mimi_x3 · Answer

|dw:1456222134603:dw|