The volume is
.
Integration by parts formula :
.
Let
then
.
Let
then
.

If the function
then its inverse is 
Since
and
are inverse function, then
.
Observe the diagram
and
.
If
then
.

If
then
.
.
Substitute the corresponding values in equation (1).
\
.
Consider
.
Let
then
.
Let
then
.

Substitute the corresponding values in equation (3).
\
Substitute equation (4) in equation (2).
\
.
.