We wish to find the volume of the torus (doughnut) formed by revolving the circle (x-9)² + y² = 36 around the y- axis. graph (x-9)2 + y² = 36. graph the solid obtained when (x-9)² + y² = 36 is rotated about the y-axis. Set up an integral that will find the volume of the solid using the shell method and evaluate the integral

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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We wish to find the volume of the torus (doughnut) formed by revolving the circle (x-9)² + y² = 36 around the y- axis.
graph (x-9)2 + y² = 36.
graph the solid obtained when (x-9)² + y² = 36 is rotated about the y-axis.
Set up an integral that will find the volume of the solid using the shell method and evaluate the integral
Transcribed Image Text:We wish to find the volume of the torus (doughnut) formed by revolving the circle (x-9)² + y² = 36 around the y- axis. graph (x-9)2 + y² = 36. graph the solid obtained when (x-9)² + y² = 36 is rotated about the y-axis. Set up an integral that will find the volume of the solid using the shell method and evaluate the integral
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