Answer
Elliptical cone.
See image:
.
Work Step by Step
Divide with 36; the equation is of the form
$\displaystyle \frac{x^{2}}{3^{2}}+\frac{y^{2}}{2^{2}}=\frac{z^{2}}{4^{2}}$
and, comparing to Table 11.1, this is an elliptical cone.
The traces in planes parallel to the xy plane are ellipses. For $z=\pm 2$, the ellipses have semiaxes 3 and 2 (use this to sketch).
