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: 38

Answer

No, the volumes will be different.

Work Step by Step

$Volume_{1}$ = $\frac{\pi r^{2} h}{3}$ $Volume_{1}$ = $\frac{\pi \times (6 cm)^{2} \times 8 cm }{3}$ $Volume_{1}$ = 96 $\pi$ $cm^{3}$ $Volume_{2}$ = $\frac{\pi r^{2} h}{3}$ $Volume_{2}$ = $\frac{\pi \times (12 cm)^{2} \times 4 cm }{3}$ $Volume_{2}$ = 192 $\pi$ $cm^{3}$
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