Chapter 6.3, Problem 24ES

Let $K_1$ and $R_2$ be regions of the form shown in the accompanying figure. Use cylindrical shells to find a formula for the volume of the solid that results when

(a) region $K_1$ is revolved about the $y\text{-axis}$

(b) region $R_2$ is revolved about the $x\text{-axis}$ .