College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.6 - Solving Other Types of Equations - 1.6 Exercises: 84

Answer

2.88 feet

Work Step by Step

We know that the volume of a sphere is: $\displaystyle V=\frac{4}{3}\pi r^{3}$ We solve for $r$: $\displaystyle r=\sqrt[3]{\frac{3V}{4\pi}}$ We know that $V=750$ gallons. We convert this to cubic feet: $V=750\ gallons * 0.1337\ ft^3/gallon=100.275 ft^3$ Now we solve for $r$ in feet: $r=\sqrt[3]{\frac{3V}{4\pi}}=r=\sqrt[3]{\frac{3*100.275}{4\pi}}=2.88\ feet$
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