You are designing a 1000 cm 3 right circular cylindrical can whose manufacture will take waste into
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You are designing a 1000 cm3 right circular cylindrical can whose manufacture will take waste into account. There is no waste in cutting the aluminum for the side, but the top and bottom of radius r will be cut from squares that measure 2r units on a side. The total amount of aluminum used up by the can will therefore be A = 8r2 + 2πrh rather than the A = 2πr2 + 2πrh in Example 2. In Example 2, the ratio of h to r for the most economical can was 2 to 1. What is the ratio now?
Example 2
You have been asked to design a one-liter can shaped like a right circular cylinder. What dimensions will use the least material?
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To find the ratio of h to r for the most economical can we need to minimize the total amount of alum...View the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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