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The unit circle x2 + v? = 1 is rotated about the line x = 2 to generate the surface of a torus (a doughnut). How much surface area is generated?

The unit circle x2 + v? = 1 is rotated about the line x = 2 to generate the surface of a torus (a doughnut). How much surface area is generated?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 26E
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**Name:** ______________________ **2.** The unit circle \( x^2 + y^2 = 1 \) is rotated about the line \( x = 2 \) to generate the surface of a torus (a doughnut). How much surface area is generated?
Transcribed Image Text:**Name:** ______________________ **2.** The unit circle \( x^2 + y^2 = 1 \) is rotated about the line \( x = 2 \) to generate the surface of a torus (a doughnut). How much surface area is generated?
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