Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 9 - Section 9.3 - Cylinders and Cones - Exercises - Page 432: 33

Answer

The volume is: $V = \pi h(R+r)(R-r)$

Work Step by Step

We know the volume of a cylinder is $\pi h(r^2)$. The radius is equal to the big radius minus the small radius, so we obtain: $V= \pi h(R^2 - r^2)$. Using a difference of two squares factoring method, this simplifies to: $V = \pi h(R+r)(R-r)$.
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