Answer
See image:
Work Step by Step
In the plane xy, ($z=0)$ the surface leaves an ellipse as a trace.
$\displaystyle \frac{x^{2}}{3^{2}}+\frac{y^{2}}{6^{2}}=1$
Draw several such ellipses in planes parallel to xy.
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 12: Vectors and the Geometry of Space - Section 12.6 - Cylinders and Quadric Surfaces - Exercises 12.6 - Page 732: 16
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