Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 11 - Surface Area and Volume - 11-4 Volumes of Prisms and Cylinders - Practice and Problem-Solving Exercises - Page 721: 17


37.5$\pi$ $m^{3}$; 117.8 $m^{3}$

Work Step by Step

To find the volume of a cylinder, we simply use the formula V=π$r^{2}$h, where r is the radius of the cylinder and h is the height. **Remember the radius if half the distance of the diameter** We plug in the values for radius and height, as seen in the figure: V=$\pi$$2.5^{2}$(6) We simplify the exponent: V=(6.25)(6)π We multiply: V≈37.5$\pi$=117.8
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