Summary: 12.6 Cylinders and Quadric surfaces
Cylindrical Surfaces
Any equation that contains only two variables represents a
cylindrical surface in 3-dimensional coordinate system
Graph it in 2-dimensions
Extend the graph to the missing axis
How to draw the graph?
2
y x=
1
Exercise: Sketch the graph 2 2
1x y+ = in and2 3
Solution
in 2
· a circle of radius `1' centered at origin
in 3
· can take any valuez
· for every value of we have a circle of radius `1' centered at Z-axisz
· we have infinitely many copies of circles sitting over each other
-1

Source: Ansari, Qamrul Hasan - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals

Collections: Mathematics