The VolumeOfRevolutionTutor(f) command launches a tutor interface that plots and computes the volume of a solid of revolution generated by rotating a function f on the interval a..b around the horizontal or vertical axis, or around a line parallel to one of the axes.

The VolumeOfRevolutionTutor(f,g) command launches a tutor interface that plots and computes the volume of a solid of revolution generated by rotating the region between the two functions f and g on the interval a..b around the horizontal or vertical axis, or around a line parallel to one of the axes.

If f is not specified, VolumeOfRevolutionTutor uses a default function.

If a..b is not specified, VolumeOfRevolutionTutor uses a default interval.

If var is not specified, VolumeOfRevolutionTutor uses a default variable.

$\mathrm{with}\left(\mathrm{Student}\left[\mathrm{Calculus1}\right]\right)\:$

$\mathrm{VolumeOfRevolutionTutor}\left(\right)$

$\mathrm{VolumeOfRevolutionTutor}\left(1+\sin \left(x\right)\right)$

$\mathrm{VolumeOfRevolutionTutor}\left(1+\sin \left(x\right)\,0..\mathrm{\pi }\right)$

$\mathrm{VolumeOfRevolutionTutor}\left(1+\sin \left(x\right)\,x=0..\mathrm{\pi }\right)$

$\mathrm{VolumeOfRevolutionTutor}\left(1+\sin \left(x\right)\,\cos \left(\frac{x}{2}\right)\,x=0..\frac{\mathrm{\pi }}{2}\right)$