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 .