A microwaveable cup-of-soup package needs to beconstructed in the shape of cylinder to hold 600 cubiccentimeters of soup. The sides and bottom of the containewill be made of styrofoam costing 0.04 cents per squarecentimeter. The top will be made of glued paper, costing0.06 cents per square centimeter. Find the dimensions forthe package that will minimize production cost.Helpful information:h: height of cylinder, r: radius of cylinderVolume of a cylinder: V = Tr²h2?rhArea of the top/bottom: A = ²To minimize the cost of the package:Radius:Area of the sides: AHeight:Minimum cost:=cmcmcents