Algebra 2 (1st Edition)

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

Chapter 5 Polynomials and Polynomial Functions - 5.1 Use Properties of Exponents - 5.1 Exercises - Problem Solving - Page 335: 54a

Answer

$\frac{1}{125}$

Work Step by Step

Using the equation for the volume of a sphere: $\frac{V_{inner core}}{V{Earth}}=\frac{\frac{4}{3}(\frac{1}{5}r)^3\pi}{\frac{4}{3}r^3\pi}=\frac{(\frac{1}{5}r)^3}{r^3}=\frac{\frac{1}{125}r^3}{r^3}=\frac{1}{125}$
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