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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 y = -1 the region between the graph of y = r and r = y³ for r > 0. 2) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the line y = 5 the region between the graph of y = x³ and r = y³ for r >0. 3) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the line x = 2 the region between the graph of y = r and r = ys 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 y = -1 the region between the graph of y = r and r = y³ for r > 0. 2) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the line y = 5 the region between the graph of y = x³ and r = y³ for r >0. 3) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the line x = 2 the region between the graph of y = r and r = ys for r> 0.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
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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 y = -1 the region between the graph of y = x³ and r = y³ for x > 0. 2) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the line y = 5 the region between the graph of y = x³ and r = y³ for r >0. 3) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the line x = 2 the region between the graph of y = r³ and r = y³ for r> 0.
Transcribed Image Text: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 y = -1 the region between the graph of y = x³ and r = y³ for x > 0. 2) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the line y = 5 the region between the graph of y = x³ and r = y³ for r >0. 3) Compute the volumes (by both the slicing and the cylin- drical shells method) of the solid obtained by revolving around the line x = 2 the region between the graph of y = r³ and r = y³ for r> 0.
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