A torus is formed by revolving the region bounded by the circle x² + y² = 9 about the line x = 5 (see figure). Find the volume of this "doughnut-shaped" solid. (Hint: The integral given below represents the area of a semicircle.)

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
Section9.3: Cylinders And Cones
Problem 23E
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A torus is formed by revolving the region bounded by the circle x + y² = 9 about the line x = 5 (see figure). Find the volume of this
"doughnut-shaped" solid. (Hint: The integral given below represents the area of a semicircle.)
dx
Transcribed Image Text:A torus is formed by revolving the region bounded by the circle x + y² = 9 about the line x = 5 (see figure). Find the volume of this "doughnut-shaped" solid. (Hint: The integral given below represents the area of a semicircle.) dx
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