University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 6 - Questions to Guide Your Review - Page 390: 3

Answer

$V=\int_m^n 2 \pi (Shell \ Radius) \times (Shell \ height) \ dx$

Work Step by Step

The volume $V$ of a solid region generated by revolving the region bounded by $y=f(x)$ between the x-axis and the graph of a continuous function $y=f(x)$ on the interval $[m,n]$ about the x-axis, and $L \leq m \leq x \leq n$, about a vertical line $x=L$ from $x=m$ to $x=n$ can be defined as $V=\int_m^n 2 \pi (Shell \ Radius) \times (Shell \ height) \ dx$
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