# Thread: Solids of revolution problem

1. ## Solids of revolution problem

Set up the integral to evaluate the volume of a solid generated by revolving the given region y=x and y=2sqrtx about y=2. I'm really having some trouble with this problem because the line of rotation cuts through the region I am supposed to be rotating....any assistance would be appreciated. Thank you!

2. ## Re: Solids of revolution problem

Try breaking it up into the intervals [0,1], [1,2], [2,4]. Now, you will further need to break up the interval [1,2] at the point where the lower function and the upper function are equidistant from the axis of rotation.