To find the volume of the solid obtained by rotating the region enclosed by the curves y = x², y = 0, x = 0 and x = 5 about the y-axis, we use the cylindrical shells method and rotate a vertical strip around the y-axis creating a Therefore the volume can be found from the cylinder with radius r = and height h = integral V = 2x 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 = x², y = 0, x = 0 and x = 5 about the y-axis, we use the cylindrical shells method and rotate a vertical strip around the y-axis creating a Therefore the volume can be found from the cylinder with radius r = and height h = integral V = 2x After evaluating the integral we find that V= dx.
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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Transcribed Image Text:To find the volume of the solid obtained by rotating the region enclosed by the curves y = et², y = 0, x = 0 and
x = 5 about the y-axis, we use the cylindrical shells method and rotate a vertical strip around the y-axis creating a
Therefore the volume can be found from the
cylinder with radius r =
and height h =
integral
V = 2/
After evaluating the integral we find that
V=
dx.
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