1. The problem statement, all variables and given/known data Find the volume of the solid generated by revolving the region bounded by the graphs of [itex] y= x^2 - 4x + 5 [/itex] and [itex] y= 5- x [/itex] about the line [itex] y= -1 [/itex] 2. Relevant equations That is what I'm trying to figure out here, which one of the methods to use. 3. The attempt at a solution I have these steps so far... x^2 - 4x + 5= 5 - x x^2 - 3x = 0 x(x-3)= 0 x= 0 and x= 3 These are my intersection points. From 0 to 3 on this graph, the function 5- x has greater y-values than those of x^2- 4x + 5, so I get (5-x)- (x^2-4x+5)= 3x-x^2. And now I am stumped. What method would I use? And how am I supposed to know if it's a disk, shell, or washer method looking at the graph? I am clueless on how to do that. Thank you for your help.