1. Cylindrical Coordinate Coordinate Systems

2. Representing 3D points in Cylindrical Coordinates.  r Start from polar representations in the plane

3. Representing 3D points in Cylindrical Coordinates.  r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r,  ).

4. Representing 3D points in Cylindrical Coordinates.  r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r,  ).

5. Representing 3D points in Cylindrical Coordinates.  r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r,  ).

6. Representing 3D points in Cylindrical Coordinates.  r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r,  ).

7. Representing 3D points in Cylindrical Coordinates.  r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r,  ).

8. Representing 3D points in Cylindrical Coordinates.  r Cylindrical coordinates just adds a z-coordinate to the polar coordinates (r,  ).

9.  r Representing 3D points in Cylindrical Coordinates.  r (r,,z)(r,,z)

10. Converting between rectangular and Cylindrical Coordinates  r  r (r, ,z) Rectangular to Cylindrical Cylindrical to rectangular No real surprises here!