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: 17

Answer

The volume of the sphere is\[288\pi \text{ }{{\text{m}}^{3}}\text{ or 905 }{{\text{m}}^{3}}\].

Work Step by Step

The radius of the sphere is 6m. The volume is expressed in terms of cubic units. The volume of a sphere will be computed by multiplying the cube of the radius with the value of pie. Now, multiply the final resultant figure with four-third to get the volume of a sphere. Compute the volume of the sphere using the equation as shown below: \[\begin{align} & \text{Volume of the Sphere }\left( V \right)=\frac{4}{3}\left( \pi {{\left( 6\text{ m} \right)}^{3}} \right) \\ & =288\pi \text{ }{{\text{m}}^{3}} \\ & =905\text{ }{{\text{m}}^{3}} \end{align}\]
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