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
Section9.3: Cylinders And Cones
Problem 7E: The tin can shown at the right has the indicated dimensions. Estimate the number of square inches of...
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Transcribed Image Text: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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