Answer
A cylinder with its center along the z-axis and radius 2.
Work Step by Step
In two-space, $x^2+y^2 = r^2$ is a circle with radius $r$.
In three-space, we must account for all z-values. This creates a cylinder that extends along the z-axis.
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 12 - Section 12.1 - Three-Dimensional Coordinate Systems - 12.1 Exercises - Page 797: 32
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