(a)
\Find the volume of the solid which is rotating about
-axis.
The volume of the solid is
.
Simpson
s Rule :
.
The number of intervals are
.

Substitute corresponding values in above equation.
\


The volume of the solid which is rotating about
-axis is
.
(b)
\Find the volume of the solid which is rotating about
-axis.
The volume of the solid is
.
Simpson
s Rule :
.
The number of intervals are
.

Substitute corresponding values in above equation.
\


The volume of the solid which is rotating about
-axis is
.
(a) The volume of the solid which is rotating about
-axis is
.
(b) The volume of the solid which is rotating about
-axis is
.