The function is
,
,
and
.
(a)
\Find volume of the solid about
- axis.
Solve the function in terms of
.
Find the point of intersections.
\
and
.
Point of intersection is
.
and
.
Point of intersection is
.
By usig shell method
.
Integrate with
to
.

Power rule of integral:
.

The volume of the curve about
-axis is
cubic-units.
(b)
\Find volume of the solid about
-axis.
Solve the function in terms of
.
Integrate with
to
.


.
The volume of the curve about
-axis is
cubic units.
(c)
\Find volume of the solid about the line
.
Solve the function in terms of
.
The radius of the curve is
.
The height of the curve is
.
By usig shell method.
\Integrate with
to
.

Power rule of integral is
.


The volume of the curve is
cubic units.
(a) The volume of the curve about
-axis is
cubic units.
(b) The volume of the curve about
-axis is
cubic units.
(c) The volume of the curve is
cubic units.