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)

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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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