A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 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 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost. I.. Helpful information: h: height of cylinder, r: radius of cylinder Volume of a cylinder: V = Ar Area of the sides: A 2rrh Area of the top/bottom: A = Tr² To minimize the cost of the package: Radius: Preview Height: Preview Minimum cost: Preview cents

A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 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 0.06 cents per square centimeter. Find the dimensions for the package that will minimize production cost. I.. Helpful information: h: height of cylinder, r: radius of cylinder Volume of a cylinder: V = Ar Area of the sides: A 2rrh Area of the top/bottom: A = Tr² To minimize the cost of the package: Radius: Preview Height: Preview Minimum cost: Preview cents

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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