Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.4 - Real Zeros of Polynomials - 3.4 Exercises - Page 285: 103

Answer

$2.76m$

Work Step by Step

Assume the cylinder has a radius of $r$(m), its volume would be $v1=\pi r^2\times20$ and the cone volume $v2=\frac{1}{3}\pi r^2(2r)=\frac{2}{3}\pi r^3$ The known total volume can be expressed as $\frac{2}{3}\pi r^3+20\pi r^2=500\pi/3$ which give an equation $r^3+30r^2-250=0$ Solving the equation numerically gives $r=2.76m$
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