Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 9 - Quadratic Functions and Equations - 9-3 Solving Quadratic Equations - Practice and Problem-Solving Exercises - Page 551: 40

Answer

8.99 feet

Work Step by Step

$h = 52$ inches $52/12 = 13/3$ (converting from inches to feet) $V=\pi*r^2*h$ $1100 = \pi * r^2 * 13/3$ $1100*3/13 = \pi * r^2 * 13/3 * 3/13$ $3300/13 = \pi * r^2$ $3300/13*\pi = \pi * r^2/\pi$ $3300/13*\pi = r^2$ $\sqrt {3300/13*\pi} = \sqrt {r^2}$ $r = \sqrt {3300/13*\pi}$ $r = \sqrt {3300/40.8395}$ $r = \sqrt {80.804}$ $r = ± 8.99$ We can't have a negative radius, so we have a radius of 8.99 feet.
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