Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 9 - Review Exercises - Page 447: 20

Answer

The sphere with the larger radius has a surface area 9 times larger than the other sphere and a volume 27 times larger than the other sphere.

Work Step by Step

$\frac{S_1}{S_2}$=$\frac{4\pi (3r)^2}{4\pi r^2}$ $\frac{S_1}{S_2}$=$\frac{36\pi r^2}{4\pi r^2}$ $\frac{S_1}{S_2}$=9 $\frac{V_1}{V_2}$=$\frac{\frac{4}{3}\pi (3r^3)}{\frac{4}{3}\pi r^3}$ $\frac{V_1}{V_2}$=$\frac{27r^3}{r^3}$ $\frac{V_1}{V_2}$=27
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