A microwaveable cup-of-soup package needs to be constructed

Last updated: 7/15/2022

A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 600 cubic centimeters of soup. The sides and bottom of the containe will be made of styrofoam costing 0.04 cents per square centimeter. The top will be made of glued paper, costing 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost. Helpful information: h: height of cylinder, r: radius of cylinder Volume of a cylinder: V = Tr²h 2πrh Area of the top/bottom: A = ² To minimize the cost of the package: Radius: Area of the sides: A Height: Minimum cost: = cm cm cents