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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.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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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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