Hi, I need help with regards to whether or not I've set this up correctly . The question asks," use the method of cylindrical shells to find the volume.... bounded by the given curves

y=e^x, x=0, and y=pi about the X-axis

V=2(pi)rh dy

Interval=1 to pi

radius =y-1

height = ln (y) by solving y=e^x for x=ln y

thickness = dy

So V= ∫[1,pi] 2pi(y-1)(ln(y)) dy

Is this correct? I'm not sure on the radius....