Creating a Surface of Revolution by Spinning a 2D Figure about ANY LINE: Yes, It's THAT EASY!
Creating a surface of revolution formed by spinning a 2D figure about a line is SUPER EASY TO DO in GeoGebra 3D Calculator!
Command used here is surface(object, angle, line).
Here, we create a triangle and then rotate it about the xAxis, yAxis, and a random line (named "f"). And afterwards, we create different modifiable surfaces of revolution using GeoGebra's SURFACE command.
Here's one with a circumcircular arc, circular arc, circle, and regular polygon. Slide the slider "n" in the applet below to see what happens.
TO EXPLORE THIS 3D RESOURCE ABOVE IN AUGMENTED REALITY:
1) Open up GeoGebra 3D Calculator on your device.
2) Go to MENU (upper left corner). Select OPEN.
Under SEARCH, type depfgppe
(Note this string of characters is in this GeoGebra resource URL).
3) Select the only 1 option that appears.
Reposition the cube (if necessary) on your device.
4) The n slider does the action here (just like in the resource above).