General Chemistry 10th Edition

Published by Cengage Learning
ISBN 10: 1-28505-137-8
ISBN 13: 978-1-28505-137-6

Chapter 1 - Chemistry and Measurement - Questions and Problems - Page 37: 1.108

Answer

S = 2.69 x $10^{1}$ $cm^{2}$ is the difference between the surface of two circles.

Work Step by Step

First we have to find the surface of each circle and than find the difference in surface. For circle with radius 7.98 cm: $S_{1}$ = $π\times{r}^{2}$ $S_{1}$= $3.14\times({7.98 cm})^{2}$ $S_{1}$= 199.956 $cm^{2}$ For circle with radius 8.5 cm: $S_{2}$ = $π\times{r}^{2}$ $S_{2}$= $3.14\times({8.5 cm})^{2}$ $S_{2}$= 226.865 $cm^{2}$ The difference: S =$S_{2}$ - $S_{1}$ S = 226.865 $cm^{2}$ - 199.956 $cm^{2}$ S = 26.908 $cm^{2}$ S = 26.9 $cm^{2}$ ( to three significant figures) or S = 2.69 x $10^{1}$ $cm^{2}$
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