Area of a Torus Let T be the torus obtained by rotating the circle in the yz-plane of

Chapter 16, Problem 45

(choose chapter or problem)

Area of a Torus Let T be the torus obtained by rotating the circle in the yz-plane of radius a centered at (0,b, 0) about the z-axis (Figure 24). We assume that b>a> 0. (a) Use Eq. (14) to show that Area(T ) = 4 b+a ba ay a2 (b y)2 dy (b) Show that Area(T ) = 42ab.

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