A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.07 cents per square centimeter. Find the dimensions for the package that will minimize production cost.Helpful information:h : height of cylinder, r : radius of cylinderVolume of a cylinder: �=��2ℎArea of the sides: �=2��ℎArea of the top/bottom: �=��2To minimize the cost of the package:Radius: (cm)Height: (cm)Minimum cost: (cents) A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450 cubiccentimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 centsper square centimeter. The top will be made of glued paper, costing 0.07 cents per square centimeter. Findthe dimensions for the package that will minimize production cost.Helpful information:h: height of cylinder, r: radius of cylinderVolume of a cylinder: V = Tr²hArea of the sides: A = 2πrhArea of the top/bottom: A = T²To minimize the cost of the package:Radius:Height:Minimum cost:cmcmcents

Given: The volume of the cylindrical cup is 450 cubic centimeters. The sides and the bottom cost…

A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.07 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 Area of the sides: A = 2mrh Area of the top/bottom: A πr² = To minimize the cost of the package: Radius: Height: Minimum cost: cm cm cents

A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450 cubic centimeters of soup. The sides and bottom of the container will be made of styrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.07 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 Area of the sides: A = 2mrh Area of the top/bottom: A πr² = To minimize the cost of the package: Radius: Height: Minimum cost: cm cm cents

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

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