9.6. C: Volumes by revolutions. 1) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the line x = 1 the region between the graph of y = T and y = x². 2) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the T-axis the region between the graph of y = Vr+2 and y = x. 3) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the y-axis the region between the graph of y = r³ and r = y³ for r > 0.
9.6. C: Volumes by revolutions. 1) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the line x = 1 the region between the graph of y = T and y = x². 2) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the T-axis the region between the graph of y = Vr+2 and y = x. 3) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the y-axis the region between the graph of y = r³ and r = y³ for r > 0.
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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