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#