Answer
Please see the figure attached.
Work Step by Step
We have ${z^2} + {r^2} \le 4$.
Since ${r^2} = {x^2} + {y^2}$, converting to rectangular coordinates we get ${x^2} + {y^2} + {z^2} \le 4$. This is a ball of radius $2$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 13 - Vector Geometry - 13.7 Cylindrical and Spherical Coordinates - Exercises - Page 700: 25
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