The SurfaceOfRevolutionTutor(f) command launches a tutor interface that plots and computes the area of the surface of revolution generated by rotating f 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, SurfaceOfRevolutionTutor uses a default function.

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

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

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

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

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

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

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