Circular cross sections: region between two parabolas

This solid lies between the planes perpendicular to the [math]x[/math]-axis at [math]x=1[/math] and [math]x=-1[/math]. The cross sections perpendicular to the [math]x[/math]-axis are circular disks whose diameters run from the parabola [math]y=x^2[/math][sup][/sup] to [br]the parabola [math]y=2-x^2[/math][sup][/sup].
[i]Developed for use with Thomas' Calculus, published by Pearson.[/i]

Information: Circular cross sections: region between two parabolas