Volume of a Torus (a) Show that the volume of the torus shown in the figure is given by

Chapter 7, Problem 76

(choose chapter or problem)

Volume of a Torus

(a) Show that the volume of the torus shown in the figure is given by the integral \(8 \pi R \int_{0}^{r} \sqrt{r^{2}-y^{2}} d y\), Where R > r > 0.

(b) Find the volume of the torus.

Text Transcription:

8 pi R int_0^r sqrt r^2-y^2 dy

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