Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 10 - Geometry - Chapter Summary, Review, and Test - Review Exercises: 53

Answer

$V = \frac{44800}{3}\pi \approx 46891 \text{ cubic inches}$

Work Step by Step

RECALL: The volume $V$ of a cone is given by the formula $V=\frac{1}{3}\pi{r^2h}$ where r = radius and h = height. The given cone has: r = 40 inches h = 28 inches Use the formula above to obtain: $V=\frac{1}{3} \pi(40^2)(28) \\V= \frac{1}{3}\pi(1600)(28) \\V = \frac{1}{3}(44800) \\V = \frac{44800}{3}\pi \\V \approx 46891 \text{ cubic inches}$
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