# How do you use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region #y = 16 - x^2# and #0 ≤ x ≤ 4# rotated about the x-axis?

##### 1 Answer

Oct 28, 2016

The volume is 546.1

#### Explanation:

The volume of a shell is surface area multiplied by thickness

The surface area is

And the volume is =surface area x thickness

so

The volume is