As we saw before the order of integration can be changed. We use an example to show that.
Example
Let E be the region bounded below by the cone z = ⎷x² + y² and above by the sphere z = x² + y² + z².Set up a triple integral in spherical coordinates and find the volume of the region using the following orders of integration.
a. dρdഴdθ
b. dഴd𝜌dθ
Solution
