Let R be the region bounded above by the curve y=x^2 , below by the line y=1 , and bounded on the right by the line x=2

Use the shell method to find the volume of the solid generated by revolving R around the line y=-3.

So what I have so far is the picture, and I know that the solid that the lines form looks somewhat like a dog bowl and is in the "cylindrical shells" category, but I am nt sure what formula to use for volume.

Since the generic formula for cylin. shells is V = integral(2pi * x * f(x) )dx, I'm not sure where this one fits in since the height of the cylinder is 4 and not just x like in the formula.

Anyone care to slave this one along with me???