45. The radius of a right circular cylinder is measured as 2.5 ft, and the height is measured as 12 ft. Suppose that each measurement has a possible error of at most e feet. a. Use differentials to estimate the maximum error in the calculated volume of the cylinder. Answer + b. If the computed volume must be accurate to within one cubic foot, determine the largest allowable value of e. Answer

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 41AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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Please answer question 45 showing work. This question was rejected because I mentioned I am studying for a quiz, this is not on a quiz this is an example the teacher gave to prepare for a quiz but I am struggling to see the steps, so please... I would appreciate clear steps.

45. The radius of a right circular cylinder is measured as 2.5 ft, and the height is measured as 12 ft.
Suppose that each measurement has a possible error of at most e feet.
a. Use differentials to estimate the maximum error in the calculated volume of the cylinder.
Answer +
b. If the computed volume must be accurate to within one cubic foot, determine the largest
allowable value of e.
Answer
Transcribed Image Text:45. The radius of a right circular cylinder is measured as 2.5 ft, and the height is measured as 12 ft. Suppose that each measurement has a possible error of at most e feet. a. Use differentials to estimate the maximum error in the calculated volume of the cylinder. Answer + b. If the computed volume must be accurate to within one cubic foot, determine the largest allowable value of e. Answer
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