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)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 31E

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Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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