Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises: 73

Answer

a) $= 7238.23$ cm$^{3}$ b) $r = 12.41$ cm

Work Step by Step

a) $V = \frac{4}{3}\pi r^{3}$ $= \frac{4}{3}\pi (12)^{3}$ $ = \frac{4}{3}\pi (1728)$ $= \frac{6912\pi}{3}$ $= 2304\pi$ $= 7238.23$ cm$^{3}$ b) $8011 = \frac{4}{3}\pi r^{3}$ $8011 = \frac{4\pi r^{3}}{3}$ $24,033 = 4\pi r^{3}$ $6008.25 = \pi r^{3}$ $\frac{6008.25}{\pi} = r^{3}$ $r = (\frac{6008.25}{\pi})^{\frac{1}{3}}$ $r = 12.41$ cm
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