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The radius of the base of a cylinder (with its base diameter equals to its height) is to be measured, and its valume camputed. If the radius can be measured with a maximum error of 4x 104 cm, and the valume must be accurate to within 0.1 cu. cm., find the largest base radius in cm for which the pracess can be used. (Hint: Use differentials to solve this problem and cansider the farmula of the volume of a cylinder in terms of its base radius.) Note: Write your answer to the nearest whole number or integer.

The radius of the base of a cylinder (with its base diameter equals to its height) is to be measured, and its valume camputed. If the radius can be measured with a maximum error of 4x 104 cm, and the valume must be accurate to within 0.1 cu. cm., find the largest base radius in cm for which the pracess can be used. (Hint: Use differentials to solve this problem and cansider the farmula of the volume of a cylinder in terms of its base radius.) Note: Write your answer to the nearest whole number or integer.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 42AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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The radius of the base of a cylinder (with its base diameter equals to its height) is to be measured, and its valume camputed. If the radius can be measured with a maximum error of 4x 104 cm, and the volume must be accurate to within 0.1 cu. cm., find the largest base radius in cm for which the process can be used. (Hint: Use differentials to salve this prablem and cansider the farmula of the volume of a cylinder in terms of its base radius.) Note: Write your answer to the nearest whole number or integer.
Transcribed Image Text:The radius of the base of a cylinder (with its base diameter equals to its height) is to be measured, and its valume camputed. If the radius can be measured with a maximum error of 4x 104 cm, and the volume must be accurate to within 0.1 cu. cm., find the largest base radius in cm for which the process can be used. (Hint: Use differentials to salve this prablem and cansider the farmula of the volume of a cylinder in terms of its base radius.) Note: Write your answer to the nearest whole number or integer.
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