The equations are  on the interval .

Find the volume of the solid generated by revolving the region about the -axis.

The Volume of the solid solid generated by revolving the region about the -axis, for the function  in the interval  is .

Here  and .

The volume of the solid is .

.

Consider .

Equating the  coefficients.

.

Equating the constant terms.

Substitute .

Substitute  and  in .

.

.

Substitute .

.

The volume of the solid is .

The volume of the solid is .