you are designing an open-top cylindrical can that must have a volume of 1000 cubic centimeters. to keep material costs to a minimum, you want to minimize the surface area of the can, which would consist of the area of the side of the can plus the area of the bottom of the can. note the area of the side of the can is the area of a rolled-up rectangle, so the area of the side is the circumference multiplied by the height. what dimensions (radius and height) should the can have to minimize the surface area?