Answer
$$ \sqrt{z^2+x^2}=3y$$
Work Step by Step
By the definition of revolution about y-axis,
$$z\rightarrow \sqrt{z^2+x^2}$$
Substituting in $z=3y$, we get
$$ \sqrt{z^2+x^2}=3y$$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 11 - Vectors and the Geometry of Space - 11.6 Exercises - Page 802: 32
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