Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 15 - Multiple Integrals - 15.8 Exercises - Page 1055: 6

Answer

A circular cylinder with radius $5$ along the z-axis.

Work Step by Step

Given: $r=5$ As we know that $r^2=x^2+y^2 \implies r=\sqrt{x^2+y^2}$ Thus, we have $\sqrt{x^2+y^2}=5$ This can be written as: $x^2+y^2=5^2$ Thus, it represents an equation of a circular cylinder with radius $5$ along the z-axis.
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