Multivariate Calculus: multivariate calculus – #22702

Question: Suppose you want to design a closed cylindrical container of radius r and height h that holds a fixed volume C and has the smallest possible surface area. Show what relationship must always be true between the radius r of the container and the height h, no matter what the value of C is. (Show all work.) Volume of a cylinder: V = pi*r^2*h; surface area = 2*pi*r^2 + 2*pi*r*h. (Note: You don’t have to solve for r and h in terms of C, but just show the relationship between the two that would hold true for the cylinder with minimum surface area and constant volume C.)

log in

reset password

Back to
log in
Do NOT follow this link or you will be banned from the site!