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An open-topped cylindrical can must contain V cm³ of liquid. (A typical can of soda, for example, has V = 355 cm³.) What dimensions will minimize the cost of metal to construct the can? A poster must have a printed area of 320 cm². It will have top and bottom margins that are 5 cm each, and side margins that are 4 cm. What are the dimensions of the poster with the smallest total area?

An open-topped cylindrical can must contain V cm³ of liquid. (A typical can of soda, for example, has V = 355 cm³.) What dimensions will minimize the cost of metal to construct the can? A poster must have a printed area of 320 cm². It will have top and bottom margins that are 5 cm each, and side margins that are 4 cm. What are the dimensions of the poster with the smallest total area?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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● An open-topped cylindrical can must contain V cm³ of liquid. (A typical can of soda, for example, has V = 355 cm³.) What dimensions will minimize the cost of metal to construct the can? A poster must have a printed area of 320 cm². It will have top and bottom margins that are 5 cm each, and side margins that are 4 cm. What are the dimensions of the poster with the smallest total area?
Transcribed Image Text:● An open-topped cylindrical can must contain V cm³ of liquid. (A typical can of soda, for example, has V = 355 cm³.) What dimensions will minimize the cost of metal to construct the can? A poster must have a printed area of 320 cm². It will have top and bottom margins that are 5 cm each, and side margins that are 4 cm. What are the dimensions of the poster with the smallest total area?
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