Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 8 Rational Functions - 8.3 Graph General Rational Functions - 8.3 Exercises - Problem Solving - Page 571: 36b

Answer

$V=\pi r^2(\frac{100-2\pi r^2}{2\pi r +\pi}-2)$

Work Step by Step

Let $r$ be the inner radius and $h$ be the height The volume of the tank is $V=\pi r^2(h-2)$ From part a, we found $h=\frac{100-2\pi r^2}{2\pi r +\pi}$ Thus, we have $V=\pi r^2(\frac{100-2\pi r^2}{2\pi r +\pi}-2)$
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