Volume of a Sphere | MathHelp.com - By MathHelp.com
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| 00:0-1 | in this example we're asked to find the volume of | |
| 00:02 | the given sphere to find the volume of a sphere | |
| 00:06 | . We use the formula volume equals four thirds times | |
| 00:12 | pi times radius cubed . So here since the radius | |
| 00:17 | is three inches we can plug three inches in for | |
| 00:20 | the radius in our formula and we have four thirds | |
| 00:24 | times pi times three inches cubed . Remember that three | |
| 00:30 | inches cubed is the same thing as three inches times | |
| 00:34 | three inches times three inches which equals 27 inches cubed | |
| 00:40 | . Yes And we have 4/3 pi times 27 cubed | |
| 00:47 | . Next notice that the 27 and three cross cancel | |
| 00:52 | to nine and 1 and we have four times pi | |
| 00:57 | times nine inches cubed which simplifies to 36 pi inches | |
| 01:03 | cubed . So one way to write the volume of | |
| 01:06 | the given sphere is 36 pi cubic inches . Next | |
| 01:14 | remember that Pi is approximately equal to 3.14 . So | |
| 01:18 | we can plug 3.14 and for pie and we have | |
| 01:22 | 36 times 3.14 inches cubed , Which equals 113.04 inches | |
| 01:34 | cubed . So another way to write the volume of | |
| 01:38 | the given sphere is 113.04 m2 . So remember this | |
| 01:47 | formula for the volume of a sphere 4/3 pi times | |
| 01:51 | the radius cubed . |
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