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22. The figure shows the torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a < b. Parametric equations for the torus are x = b cos 0 + a cos a cos y = b sin + a cos a sin z = a sin a where and a are the angles shown in the figure. Find the surface area of the torus. (x, y, z) XK (b, 0, 0)

22. The figure shows the torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a < b. Parametric equations for the torus are x = b cos 0 + a cos a cos y = b sin + a cos a sin z = a sin a where and a are the angles shown in the figure. Find the surface area of the torus. (x, y, z) XK (b, 0, 0)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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22. The figure shows the torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a < b. Parametric equations for the torus are x = b cos 0 + a cos a cos 0 y = b sin + a cos a sin z = a sin a where and a are the angles shown in the figure. Find the surface area of the torus. Z (x, y, z) X* (b, 0, 0) α y
Transcribed Image Text:22. The figure shows the torus obtained by rotating about the z-axis the circle in the xz-plane with center (b, 0, 0) and radius a < b. Parametric equations for the torus are x = b cos 0 + a cos a cos 0 y = b sin + a cos a sin z = a sin a where and a are the angles shown in the figure. Find the surface area of the torus. Z (x, y, z) X* (b, 0, 0) α y
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