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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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