The radius of a sphere was measured and founded to be 21cm with a possible error in measurement of at most 0.05cm. What is the maximum error in using this value of the radius to compute the volume of the sphere? Use linear approximations or differentials to answer the question. ( Let V=volume of the sphere, I wonder why the answer is dV instead of |dV-ΔV| )

The radius of a sphere was measured and founded to be 21cm with a possible error in measurement of at most 0.05cm. What is the maximum error in using this value of the radius to compute the volume of the sphere? Use linear approximations or differentials to answer the question. ( Let V=volume of the sphere, I wonder why the answer is dV instead of |dV-ΔV| )

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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