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WZ
Numerade Educator

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Problem 47 Easy Difficulty

(a) Set up an integral for the volume of a solid torus (the
donut-shaped solid shown in the figure) with radii $r$
and $R .$
(b) By interpreting the integral as an area, find the volume
of the torus.

Answer

$$
V=2 \pi^{2} r^{2} R
$$

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