A torus is formed by revolving the graph of about the axis. Find the surface area of the

Chapter 7, Problem 60

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In Exercises 59 and 60, use the Second Theorem of Pappus, which is stated as follows. If a segment of a plane curve C is revolved about an axis that does not intersect the curve (except possibly at its endpoints), the area S of the resulting surface of revolution is equal to the product of the length of C times the distance d traveled by the centroid of C.

A torus is formed by revolving the graph of \((x-1)^{2}+y^{2}=1\) about the y-axis. Find the surface area of the torus.

Text Transcription:

(x-1)^2+y^2=1

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