Headphones Case (AR Modeling Challenge)

[b]Students:[/b][br][br]Using only 2 surface equations, model the following headphone case shown in the screencast below using GeoGebra Augmented Reality. [br][br][b]Clues:[/b][br][br]The center of this surface = (0,0,3).[br][br]For the distance between the lowest point (on the pink surface) and highest point (on the blue surface), watch the screencast carefully. It is made evident here.[br][br]The circle where the 2 surfaces meet has a radius = [math]\sqrt{10}[/math].

Information: Headphones Case (AR Modeling Challenge)