Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 6 - Section 6.6 - Variation - 6.6 Exercises - Page 418: 24

Answer

$\text{The volume of of a cone varies jointly as the square of its radius of its height.}$

Work Step by Step

Recall: (1) When $y$ varies directly as $x$, the direct variation's equation is $y=kx$ where $k$ is the constant of variation. (2) When $y$ varies inversely as $x$, the inverse variation's equation is $y=\frac{k}{x}$ or $xy=k$ where $k$ is the constant of variation. (3) When $y$ varies jointly as $x$ and $z$, joint variation's equation is $y=kxz$ where $k$ is the constant of variation. In the equation $V=\frac{1}{3}\pi{r^2h}$, $V$ varies jointly as $r^2$ and $h$ with a constant of variation of $\frac{1}{3}$. Thus: $\text{The volume of of a cone varies jointly as the square of its radius of its height.}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.