Thinking Mathematically (6th Edition)

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

Chapter 10 - Geometry - 10.5 Volume and Surface Area - Exercise Set 10.5 - Page 656: 10

Answer

The volume of the cylinder is\[905\text{ c}{{\text{m}}^{3}}\].

Work Step by Step

The radius and height of the cylinder is 6 cm and 8 cm, respectively. The volume of the cylinder will be computed by multiplying the square of the radius with the height and finally multiplying the resultant with the value of pie. Compute the volume of the cylinder using the equation as shown below: \[\begin{align} & \text{Volume of the Cylinder (}V\text{)}=\left( \pi {{(6\text{ cm})}^{2}}8\text{ cm} \right) \\ & =288\pi \text{ c}{{\text{m}}^{\text{3}}} \\ & =905\text{ c}{{\text{m}}^{\text{3}}} \end{align}\]
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