A cylindrical tank has a radius of 8ft and a height of 10ft. Both dimensions are measured with a maximum possible error of ±0.05 ft. a. Use the total differential to estimate the maximum possible error in calculated volume. (Hint: The formula for the volume of the cylindrical tank is V = ar²h , where the total differential requires the product rule, resulting in dv = «(r²dh + 2rhdr) .) AP ft³ 2. Compute the actual maximum possible error in the calculated volume. AV = ft³

A cylindrical tank has a radius of 8ft and a height of 10ft. Both dimensions are measured with a maximum possible error of ±0.05 ft. a. Use the total differential to estimate the maximum possible error in calculated volume. (Hint: The formula for the volume of the cylindrical tank is V = ar²h , where the total differential requires the product rule, resulting in dv = «(r²dh + 2rhdr) .) AP ft³ 2. Compute the actual maximum possible error in the calculated volume. AV = ft³

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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