Chapter 5.5, Problem 250E

In the following exercises, the boundaries of the solid E are given in cylindrical coordinates.

a. Express the region E in cylindrical coordinates.

b. Convert the integral ${\displaystyle \underset{E}{\iiint }f\left(x,y,z\right)dV}$to

cylindrical coordinates.

250. E is bounded by the right circular cylinder $r=\cos \theta$ , the $r\theta$ -plane, the sphere $r^2+z^2=9$ .