A cylindrical can is to hold 500 cm^3 of apple juice. The design must take into account that the height must be between 6 and 15 cm, inclusive. How should the can be constructed so that a minimum amount of material will be used in the construction? (Assume there will be no waste).

Can someone explain to me the steps when you have to find a minimum/maximum for the volume/area/surface area. How do i find the values so thatl,w, & hall have the same variable???