Volume of a Cone | MathHelp.com - By MathHelp.com
Transcript
| 00:0-1 | In this example , we're asked to find the volume | |
| 00:02 | of the given cone to find the volume of a | |
| 00:05 | cone . We use the same formula that we use | |
| 00:08 | to find the volume of a pyramid . Volume equals | |
| 00:13 | one third times area of the base times height . | |
| 00:18 | Notice , however , that the base of a cone | |
| 00:20 | is a circle . And remember that the formula for | |
| 00:23 | the area of a circle is pi times radius squared | |
| 00:27 | . So another way to write the formula for the | |
| 00:29 | volume of a cone is volume equals one third times | |
| 00:33 | pi times radius squared times height , which is the | |
| 00:38 | same thing as one third times area of the base | |
| 00:41 | times height . So to find the volume of the | |
| 00:44 | given cone . Since the radius is eight cm and | |
| 00:48 | the height is 18 cm , we can plug this | |
| 00:51 | information into the formula to get one third pie Times | |
| 00:58 | eight cm squared times 18 cm . Remember that eight | |
| 01:05 | centimeters squared is the same thing as eight centimeters times | |
| 01:09 | eight centimeters , which equals 64 centimeters squared . And | |
| 01:15 | we have one third pi times 64 centimeters squared times | |
| 01:22 | 18 centimeters simplifying from here , I would multiply one | |
| 01:28 | third times 18 . Next notice that 18 and three | |
| 01:32 | cross cancel to six and one and we have one | |
| 01:38 | times pi times 64 centimeters squared times six centimeters , | |
| 01:43 | Which simplifies to 384 pi centimetres cubed . So one | |
| 01:51 | way to write the volume of the given cone is | |
| 01:54 | 384 pi cubic centimeters . Next remember that Pi is | |
| 02:03 | approximately equal to 3.14 so we can plug 3.14 and | |
| 02:08 | for pie . And we have 384 Times 3.14 centimetres | |
| 02:17 | cubed , which equals 1,205.76 cm cubed . So another | |
| 02:28 | way to write the volume of the given cone is | |
| 02:31 | 1205.76 cubic centimeters |
Summarizer
DESCRIPTION:
OVERVIEW:
Volume of a Cone | MathHelp.com is a free educational video by MathHelp.com.
This page not only allows students and teachers view Volume of a Cone | MathHelp.com videos but also find engaging Sample Questions, Apps, Pins, Worksheets, Books related to the following topics.
GRADES:
STANDARDS:
