Let R be the region of the first quadrant bounded by the X-axis and the curve y=2x-x^2.

a.) Find the volume produced when R is revolved around the X-axis.

b.) Find the volume produced when R is revolved around the Y-axis.

So for (b) I got [16(pi)]/15. Is that correct? I'm having a hard trouble with (a) because I know I have to change it to x= but how can I without ending up with an implicit function? Any help would be highly appreciated.