Calculus: Early Transcendentals 8th Edition

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: 37

Answer

All points on or within the cylinder centered on the y-axis with radius 3.

Work Step by Step

Start with our cylinder, $x^2 + z^2 \leq r^2$ Radius: $r= 3$ We have found the radius, but have not accounted for the bounds set by the inequality. We want to account for all points $r \leq 3$. This tells us we are working with all points on or within our cylinder.
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