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To find the volume of the solid obtained by rotating the region enclosed by the curves y = e, y = 0, x= 0 and x= 12 about the y-axis, we use the cylindrical shells method and rotate a vertical strip around the y-axis creating a cylinder with radius r = and height h = Therefore the volume can be found from the integral V = 2 m After evaluating the integral we find that V = dx

To find the volume of the solid obtained by rotating the region enclosed by the curves y = e, y = 0, x= 0 and x= 12 about the y-axis, we use the cylindrical shells method and rotate a vertical strip around the y-axis creating a cylinder with radius r = and height h = Therefore the volume can be found from the integral V = 2 m After evaluating the integral we find that V = dx

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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To find the volume of the solid obtained by rotating the region enclosed by the curves y = e, y = 0, x = 0 and x = 12 about the y-axis, we use the cylindrical shells method and rotate a vertical strip around the y-axis creating a cylinder with radius r = and height h = . Therefore the volume can be found from the integral V = 2 m After evaluating the integral we find that V = dx.
Transcribed Image Text:To find the volume of the solid obtained by rotating the region enclosed by the curves y = e, y = 0, x = 0 and x = 12 about the y-axis, we use the cylindrical shells method and rotate a vertical strip around the y-axis creating a cylinder with radius r = and height h = . Therefore the volume can be found from the integral V = 2 m After evaluating the integral we find that V = dx.
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