# How do you find the volume of the solid generated by revolving the region bounded by the graphs #y=e^(x/2), y=0, x=0, x=4#, about the x axis?

##### 1 Answer

Dec 15, 2016

Please see below.

#### Explanation:

Here is a graph of the region in blue. A slice has been taken perpendicular to the axis of rotation. The rotation as shown by the arrow/arc.

The representative slice is a disc of

thickness dx

and radius

The volume of the representative slice (disc) is

The values of

Evaluate the integral to get