Popcorn Bowl (AR Modeling Challenge)

How can we use GeoGebra Augmented Reality to author 2 surface equations (with domain restrictions) to model this blue popcorn bowl shown in the screencast? Clues: The radius of the pink circle = . The blue surface is a paraboloid of revolution, THAT, if extended, would have a maximum at (0,0,5). Cross sections of the blue surface with ANY PLANE parallel to the plane z = 0 are CIRCLES. The point (3, -1, 2.8) lies on the blue surface.