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The surface area S of a metal cylinder is given by S = 2mr² + 2rh where r is the radius and h is the height. The height can be cut to a relative accuracy of 3% but the radius can only be cut to a relative accuracy of 5%. If the cylinder is supposed to have a radius of 6 cm and a height of 10 cm, use differentials to estimate how bad the relative accuracy of the surface area can be. Don't round answers unless the instructions request approximations, or as part of checking your OWn Work

The surface area S of a metal cylinder is given by S = 2mr² + 2rh where r is the radius and h is the height. The height can be cut to a relative accuracy of 3% but the radius can only be cut to a relative accuracy of 5%. If the cylinder is supposed to have a radius of 6 cm and a height of 10 cm, use differentials to estimate how bad the relative accuracy of the surface area can be. Don't round answers unless the instructions request approximations, or as part of checking your OWn Work

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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The surface area S of a metal cylinder is given by S = 2nr² + 2arh where r is the radius and h is the height. The height can be cut to a relative accuracy of 3% but the radius can only be cut to a relative accuracy of 5%. If the cylinder is supposed to have a radius of 6 cm and a height of 10 cm, use differentials to estimate how bad the relative accuracy of the surface area can be. Don't round answers unless the instructions request approximations, or as part of checking your OWA Work.
Transcribed Image Text:The surface area S of a metal cylinder is given by S = 2nr² + 2arh where r is the radius and h is the height. The height can be cut to a relative accuracy of 3% but the radius can only be cut to a relative accuracy of 5%. If the cylinder is supposed to have a radius of 6 cm and a height of 10 cm, use differentials to estimate how bad the relative accuracy of the surface area can be. Don't round answers unless the instructions request approximations, or as part of checking your OWA Work.
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