9.5. B: The cylindrical shells method. 1) Compute the volume (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the y = 5 the region between the graph of y = 1– x² and y = 3r?. 2) Compute the volume (by both the slicing and the cylin- drical shells method) of the solids obtained by revolving around the x = 10 (i.e. a full rotation) the region between the graph of y = 1 – 2² and y = 3r?.

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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9.5. B: The cylindrical shells method.
1) Compute the volume (by both the slicing and the cylin-
drical shells method) of the solid obtained by revolving around the
y = 5 the region between the graph of y = 1 – x² and y = 3x?.
2) Compute the volume (by both the slicing and the cylin-
drical shells method) of the solids obtained by revolving around the
x = 10 (i.e. a full rotation) the region between the graph of y = 1- x?
and y = 3x2.
Transcribed Image Text:9.5. B: The cylindrical shells method. 1) Compute the volume (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the y = 5 the region between the graph of y = 1 – x² and y = 3x?. 2) Compute the volume (by both the slicing and the cylin- drical shells method) of the solids obtained by revolving around the x = 10 (i.e. a full rotation) the region between the graph of y = 1- x? and y = 3x2.
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