Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 13 - Functions of Several Variables - 13.1 Exercises - Page 876: 14

Answer

The solutions are a) $V(3,10) = 90\pi.$ b) $V(5,2) = 50\pi.$ c) $V(4,8) = 128\pi.$ d) $V(6,4) = 144\pi.$

Work Step by Step

We will substitute $r$ and $h$ from the first and the second coordinate from the given point into the function $V(r,h) = \pi r^2 h$. a) $V(3,10) = \pi 3^2\times10= 90\pi.$ b) $V(5,2) = \pi 5^2\times 2 = 50\pi.$ c) $V(4,8) = \pi 4^2\times 8 = 128\pi.$ d) $V(6,4) = \pi 6^2\times 4 = 144\pi.$
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