Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the y-axis.

y = 6x − x^2, y = x

the curves intersect at (0,0) and (5,5)

so, v = ∫[0,5] 2πrh dx
where r = x and h = (6x-x^2)-x
v = ∫[0,5] 2πx(5x-x^2) dx