CAN PROJECT Metal comes in large, flat sheets. If we ignore waste metal in the manufacturing process, then then to minimize metal we minimize surface area, like on Wednesday. In that case, we got that h = 2r is best. But cans aren't like that! Problem 1. The material for cans is cut from sheets of metal. The cylinder's sides are formed by bending rectangles; these rectangles are cut from the sheet with little or no waste. But if the top and bottom are cut from squares with side length 2r, like in the picture, there's waste metal. When the circles are cut like this, minimize the total metal used to make a can containing 1L.

CAN PROJECT Metal comes in large, flat sheets. If we ignore waste metal in the manufacturing process, then then to minimize metal we minimize surface area, like on Wednesday. In that case, we got that h = 2r is best. But cans aren't like that! Problem 1. The material for cans is cut from sheets of metal. The cylinder's sides are formed by bending rectangles; these rectangles are cut from the sheet with little or no waste. But if the top and bottom are cut from squares with side length 2r, like in the picture, there's waste metal. When the circles are cut like this, minimize the total metal used to make a can containing 1L.

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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Question

CAN PROJECT
Metal comes in large, flat sheets. If we ignore waste metal in the manufacturing process, then then to minimize
metal we minimize surface area, like on Wednesday. In that case, we got that h = 2r is best. But cans aren't like
that!
Problem 1. The material for cans is cut from sheets of metal. The cylinder's sides are formed by bending rectangles;
these rectangles are cut from the sheet with little or no waste. But if the top and bottom are cut from squares with
side length 2r, like in the picture, there's waste metal. When the circles are cut like this, minimize the total metal
used to make a can containing 1L.

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