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.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 17EQ

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