# How do you use the method of cylindrical shells to find the volume generated by rotating the region bounded by #y=e^(−x^2)#, y=0, x=0, and x=1 about the y axis?

##### 1 Answer

Oct 12, 2015

Draw a sketch, then integrate using the shell method with respect to x.

#### Explanation:

Here is sketch of the problem:

Using the formula for the Shell Method:

You can use substitution {

Answer

Hope that helps