# How do you use the method of cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y=1/x, y=0, x=1, and x=2 about the y-axis?

##### 1 Answer

Oct 11, 2016

Please see the explanation section, below.

#### Explanation:

Here is the region (blue) with a thin slice taken parallel to the axis of rotation. To set up for cylindrical shells. (The slice has black edges.)

The volume of a representative shell is

In this case, we have

radius

height