Algebra 2 (1st Edition)

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

Chapter 1, Equations and Inequalities - 1.4 Rewrite Formuilas and Equations - 1.4 Exercises - Skill Practice - Page 31: 19

Answer

See below.

Work Step by Step

$S=\pi r(h+k)=\pi rh+\pi rk\\S-\pi rk=\pi rh\\h=\frac{S-\pi rk}{\pi r}$ Thus plugging in $S=50,k=3,r=2$: $h=\frac{50-\pi 2\cdot3}{\pi \cdot2}\approx 5.0$
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