# Cylindrical Shells

The region bounded by the curve and the lines and is revolved around the x-axis to form a solid S.

The volume of S by the method of washers is given by the integral .

Find the volume using the method of cylindrical shells. Please show the complete solution (particularly how to find the cross-sectional area), including all work.

https://brainmass.com/math/integrals/volume-using-cylindrical-shells-15825

#### Solution Preview

At a distance x from the origin, draw cylinder of radius r

r =x^2 + 1

and height dh = dx.

hence the volume of ...

#### Solution Summary

This uses the cylindrical shell method to find volume.

$2.19