Find volume of the solid generated by revolving Find volume of the solid generated by revolving the region bounded by the parabola
$ =^2+1 ,=0 $ and the line =3 about the line =3
Using Disk method,I found the answer to be 9.4

Consider interchange of axes for convenience:
$$ y =x^2 +1 $$
$$ \pi \int _{-\sqrt 2 }^ {+\sqrt 2} y^2 dx = \pi \int _{-\sqrt 2 }^ {+\sqrt 2} (x^2+1)^2 dx $$
