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Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section: Chapter Questions

Problem 7CLR

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Related questions

Question

Look at the figure:
The radius r measures 10cm and the radius R measures 20cm. The height h1 measures 15cm and the height h2 measures 25cm.
When measuring the radii, an error of up to 3% is made. When measuring the heights, an error of up to ±1cm is made.
Find:
(a) The approximate maximum percentage error when calculating the surface area.
b) The approximate relative error in calculating the volume of the body.
c) If the height of the cylinder were to change from 25cm to 25.2cm and all other measurements remain the same, approximate the approximate relative error in calculating the volume of the body.
measurements remain the same, approximate the change in area of the cylinder.