Cylindrical Coordinates and Q4
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
Question 4
Find the volume of the solid bounded above by z = x2 + y2 and side by cylinder x2 + y2 = 9