Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 15 - Section 15.7 - Triple Integrals in Cylindrical Coordinates - 15.7 Exercise - Page 1043: 7


Sphere with radius $2$ and centre at the origin.

Work Step by Step

Given: $r^2+z^2=4$ As we know that $r^2=x^2+y^2 \implies r=\sqrt{x^2+y^2}$ Thus, we have $x^2+y^2+z^2=4$ This can be written as: $x^2+y^2+z^2=2^2$ Thus, it represents an equation of a sphere with radius $2$ and centre at the origin.
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