Find the centroid of the volume generated by revolving about the line x=1, the area bounded by x^2-x+4y=19, the line x=1, and the x-axis. Pls show full solution with graph.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.CR: Review Exercises
Problem 22CR
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Find the centroid of the volume generated by revolving about the line x=1, the area bounded by x^2-x+4y=19, the line x=1, and the x-axis.

Pls show full solution with graph.

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