Step 1:
\The curve equations are and
about
.
Definition of volume:
\The volume of the solid is
, where
is the cross sectional area of the solid
.
Now we find the intersection points of the two curves and
.
Equate both the curves.
\Now we find the volume of the region over the interval and
.
Graph:
\Step 2:
\Area of the region bounded by the curve and
is
Area of the region bounded by the curve and
is
Cross sectional area of the solid is .
Step 3:
\Volume of the solid is .
Substitute ,
and
.
Volume of the solid is .