Volume of a Cylinder | MathHelp.com - By MathHelp.com
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| 00:0-1 | in this example , we're asked to find the volume | |
| 00:02 | of the given cylinder to find the volume of a | |
| 00:06 | cylinder . We use the same formula that we use | |
| 00:08 | to find the volume of a prism , volume equals | |
| 00:13 | area of the base times height . Notice , however | |
| 00:18 | , that the base of a cylinder is a circle | |
| 00:20 | . And remember that the formula for the area of | |
| 00:23 | a circle is pi times radius squared . So the | |
| 00:26 | formula for the volume of a cylinder can be written | |
| 00:30 | as pi times radius squared times height . So to | |
| 00:35 | find the volume of the given cylinder , since the | |
| 00:38 | radius is seven m and the height is 10 m | |
| 00:42 | , we can plug this information into the formula to | |
| 00:45 | get pie times seven m squared times 10 m . | |
| 00:52 | Yeah , remember that seven m squared is the same | |
| 00:56 | thing as seven m times seven metres , which equals | |
| 00:59 | 49 m squared . And we have pi times 49 | |
| 01:06 | m squared , times 10 m , Which simplifies to | |
| 01:11 | 490 Piem cubed . So one way to write the | |
| 01:18 | volume of the given cylinder is 490 pie m3 . | |
| 01:25 | Next remember that pi is approximately equal to 3.14 so | |
| 01:31 | we can plug 3.14 and for pie , and we | |
| 01:34 | have 490 times 3.14 m cubed , Which equals 1538.6 | |
| 01:46 | meters cubed . So another way to write the volume | |
| 01:50 | of the given cylinder is 1,538.6 m3 . |
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