Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 6 - Factoring, Solving Equations, and Problem Solving - 6.2 - Factoring the Difference of Two Squares - Problem Set 6.2: 80

Answer

8 feet

Work Step by Step

Recall that the surface area of a right circular cone is given by: $\pi r^2 + \pi rs$ Since s equals the diameter of the base, we know that s equals $2r$, Thus: $ SA = \pi r^2 + \pi r(2r) \\ 192 = r^2 + 2r^2 \\ 192 = 3r^2 \\ r = 8 $
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