I am working on a problem very similar to the following.
Find the volume of the solid generated by revolving , bounded by the x-axis, the y-axis, x=3 , and , about the x-axis.
Based on the information given in this problem, I have been able to set up the integral to show what is below.
My one problem is the r in the integral. I know how to obtain it when the region is being revolved around the y-axis, but I am not sure how to obtain it when the region is being revolved around the x-axis. Is it the distance from the x-axis to the top of the bounded region, or do you have to obtain it via another method?
Thank you in advance for any assistance given.