Headphones Case (AR Modeling Challenge)

Students: Using only 2 surface equations, model the following headphone case shown in the screencast below using GeoGebra Augmented Reality. Clues: The center of this surface = (0,0,3). 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. The circle where the 2 surfaces meet has a radius = .