A cylindrical tin can is to be manufactured so that it will hold a specific volumeV. If the materials for the ends of the can are twice as expensive as materials for the sides, what shape of can is most economical to manufacture? Findhin terms ofr. Let thecost=$c per cm²,his the height of the cylinder andris the radius of the cylinder.

You can assume that the cost is proportional to the surface area since the materials for a tin can have uniform thickness. Ignore the costs of forming the can, which are about the same for cans of any size.