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To find the volume of the solid obtained by rotating the region enclosed by the curves y=x²-36 x and yx about the line-3, use the cylindrical shells method and rotate a vertical strip around the line x=-3 creating a cylinder with radius r and height Therefore the volume can be found from the integral V- 2 m NUTES dx.

To find the volume of the solid obtained by rotating the region enclosed by the curves y=x²-36 x and yx about the line-3, use the cylindrical shells method and rotate a vertical strip around the line x=-3 creating a cylinder with radius r and height Therefore the volume can be found from the integral V- 2 m NUTES 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=x2-36 x and y=xabout the line-3, me use the cylindrical shells method and rotate a vertical strip around the line x = -3 creating a cylinder with radius r and height Therefore the volume can be found from the integral V = 2 T MY NOTES dx
Transcribed Image Text:To find the volume of the solid obtained by rotating the region enclosed by the curves y=x2-36 x and y=xabout the line-3, me use the cylindrical shells method and rotate a vertical strip around the line x = -3 creating a cylinder with radius r and height Therefore the volume can be found from the integral V = 2 T MY NOTES dx
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