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

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

02:52

Carson M.

Calculus 2 / BC

Chapter 7

APPLICATIONS OF INTEGRATION

Section 2

Volumes

Applications of Integration

Missouri State University

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Lectures

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(a) Set up an integral for…

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Volume of a Torus(a) S…

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The torus (doughnut-shaped…

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