Examples:

  1. f := x*sin(x)^2
    plot( f, x=0..Pi )
    xvol := int( Pi*f^2, x=0..Pi )
    xvol_num := evalf(xvol)
    yvol := int( 2*Pi*x*f, x=0..Pi )
    yvol_num := evalf(yvol)
    Maple Screenshot