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Numerade Educator



Problem 63 Hard 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.


a) 8$\pi R \int_{0}^{r} \sqrt{r^{2}-y^{2}} d y$
b) $V=2 \pi^{2} r^{2} R$


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