The region is about
.
is the line segment on
axis, so the equation of
line is
.
Use washer method to find the volume.
\Method of washer:
\The volume of the solid is
, where
is the cross sectional area of the solid
.
Here the region is rotated about the line
.
Outer radius is the distance between and
.
Outer radius .
Inner radius is distance between the curve and the line
.
Inner radius .
Integral limits are and
.
Volume of the region by rotatating about is,
.
Volume of the region is .
Volume of the region is .