A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300 cubic centimeters of soup. The sides and bottom of the container will be made of syrofoam 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 = πr²h Area of the sides: A = 2πrh Area of the top/bottom: A = Пр2 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 300 cubic centimeters of soup. The sides and bottom of the container will be made of syrofoam 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 = πr²h Area of the sides: A = 2πrh Area of the top/bottom: A = Пр2 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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