A cylinder of radius r and height h has volume V = r 2 h. (a) Use

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A cylinder of radius r and height h has volume V = πr²h.

(a) Use the Linear Approximation to show that

V V 2 2 r + h

(b) Estimate the percentage increase in V if r and h are each increased by 2%.

(c) The volume of a certain cylinder V is determined by measuring r and h. Which will lead to a greater error in V: a 1% error in r or a 1% error in h?

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Jan 16, 2024 09:01 AM

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A cylinder of radius r and height h has volume V = r 2 h. (a) Use

Question:

V V 2 2 r + h

Step by Step Answer:

Calculus

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