# How do you determine the volume of a solid created by revolving a function around an axis?

##### 1 Answer

Jan 7, 2017

#### Explanation:

Given a function

The area of a circle is

The volume of the solid is then the infinite sum of the infinitesimally thin disks over the interval

So:

#"Volume" = int_a^b pif(x)^2 dx = pi int_a^b f(x)^2 dx#