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: 34

Answer

A solid sphere with radius 2 and center at the origin.

Work Step by Step

$x^2+y^2+z^2 = r^2$ is our given formula for a sphere. Adjusting this to $x^2+y^2+z^2 \leq r^2$ tells us we are only working with points contained on or within the sphere. When $r^2 = 4$, $r= 2$.
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