# Elliptical Ice Cream

**Geometry**Level pending

**$402.62**that has an semi-ellipsoid on top while the cone shares the same cross-section of an ellipse. The cone is tightly packed with ice cream.

You know the height of the *cone only* is **9 cm**. The height of the semi-ellipsoid is the same as the minor axis of the cross section. The major axis is \(\sqrt{2}\) times the minor axis.
What is the measure of the **semi-minor axis**?
Calculator required (sorry).