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A hollow cylinder has a radius R of the outer surface, radius r of the inner surface and height h. Ris measured as 35cm with a possible error 0.06cm, r is measured as 20cm with a possible error 0.03cm, andh is measured as 50cm with a possible error 0.05cm. Use differentials to

A hollow cylinder has a radius R of the outer surface, radius r of the inner surface and height h. Ris measured as 35cm with a possible error 0.06cm, r is measured as 20cm with a possible error 0.03cm, andh is measured as 50cm with a possible error 0.05cm. Use differentials to

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 85CR
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QUESTION 8 A hollow cylinder has a radius R of the outer surface, radius r of the inner surface and height h. Ris measured as 35cm with a possible error 0.06cm, r is measured as 20cm with a possible error 0.03cm, and h is measured as 50cm with a possible error 0.05cm. Use differentials to estimate the resultant maximum possible error in the volume of the hollow cylinder. (Hint: V = nh (R2 – r2))
Transcribed Image Text:QUESTION 8 A hollow cylinder has a radius R of the outer surface, radius r of the inner surface and height h. Ris measured as 35cm with a possible error 0.06cm, r is measured as 20cm with a possible error 0.03cm, and h is measured as 50cm with a possible error 0.05cm. Use differentials to estimate the resultant maximum possible error in the volume of the hollow cylinder. (Hint: V = nh (R2 – r2))
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