22) A sphere is measured and the radius is 5 inches with a possible error of at most 0.02 inches. Determine the approximate error( using differentials) in computing the volume of the sphere. (V = (4/3) nr³).

22) A sphere is measured and the radius is 5 inches with a possible error of at most 0.02 inches. Determine the approximate error( using differentials) in computing the volume of the sphere. (V = (4/3) nr³).

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

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Question

22) A sphere is measured and the radius is 5 inches with a possible error of at most 0.02 inches.
Determine the approximate error( using differentials) in computing the volume of the
sphere. (V = (4/3) r³).
%3D
10

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