The region is
about
.
Find the equation of line
.
Point-slope form of line equation:
.
Substitute
and
in above formula.

The equation of line
is
.
Use disk method to find the volume.
\Method of disk:
\The volume of the solid
is
, where
is the cross sectional area of the solid
.
.
Here the the region
is rotated about the line
.
Radius is the distance between the line
and the curve
.
Radius is
.
Integral limits are
and
.
.
Volume of the region by rotatating about
is,
.
Volume of the region is
.
Volume of the region is
.