Chapter 6.3, Problem 28ES

Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the solid generated when the region $R$ is revolved about (a) the line $x=1$ and (b) the line $y=-1$ .

$R$ is the region in the first quadrant bounded by the graphs of $y=\sqrt{1-x^2},y=0,$ and $x=0$ .