# Planter (AR Modeling Challenge)

- Author:
- Tim Brzezinski

In this GeoGebra Augmented Reality modeling challenge, our goal is to author 2 surface equations (with domain restrictions) to model the pottery piece shown in the screencast below.
.
The radius of the smaller opening = .
2) The units away from its center.
No domain restrictions were used for this surface.

**Modeling Clues:**1) The**pink surface**is a frustum of a cone. Cross sections of this surface and any plane parallel to*z*= 0 are circles. This cone has its apex at (0, 0, 1). The radius of the wider opening =**blue surface is part of an ellipsoid**with center (0,0,0). The vertices of this ellipsoid are located