(Solved): By setting up an integral that represents the volume of a solid torus (the donut-shaped solid shown ...

By setting up an integral that represents the volume of a solid torus (the donut-shaped solid shown in the figure below) with radii \\( r \\) and \\( R \\) and interpreting this integral as an area, find the volume of the torus. Hint: \\( \\int_{0}^{r} \\sqrt{r^{2}-y^{2}} d y \\) is the area of a quarter disk, of radius \\( r \\). Volume \\( = \\)