Cylindrical Coordinates
We obtain the volume of solid by using triple integrals in cylindrical coordinate (r,,z)
volume =
Notice that the cylindrical coordinate (r,,z) is similar to polar coordinate (r, ) together with z-coordinate.
To convert cartesian coordinate to cylindrical coordinate, take note of the following formulas
Type "Example 2.26" to see the graph in app
Example
Find the volume of the solid bounded above by z = x2 + y2 and side by cylinder x2 + y2 = 9