Introductory Chemistry (5th Edition)

Published by Pearson
ISBN 10: 032191029X
ISBN 13: 978-0-32191-029-5

Chapter 2 - Measurement and Problem Solving - Exercises - Cumulative Problems - Page 54: 121


The radius of the sphere is $1.3164 cm$

Work Step by Step

We are told the mass of the sphere is 25.8 grams and the density of the sphere is 2.7 g/cm^3. Using the formula for density; $Density =\frac{Mass}{Volume}$, we can solve for the volume of the cube; $Volume =\frac{Mass}{Desnity} = \frac{25.8 g}{2.7 g/cm^3} = 9.555555556 cm^{3}$. Now to find the radius of the sphere we can simply rearrange the formula for the volume of the sphere; $V = \frac{4}{3}πr^{3}$ so $r = \frac{3V}{4π}^{\frac{1}{3}}$ $r = \frac{3\times9.555555556 cm^{3}}{4π}^{\frac{1}{3}} = 1.3164 cm$
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