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The circular sector below is rolled to form a cone.  Find the volume of the cone.

 

 Mar 2, 2024
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The  circumference  of the cone =  2 * pi * 21  * (120/360)   =  14 pi

The radius of the cone = 

14pi =  2 * pi * r

7 = r

 

Height of the cone  = sqrt [ 21^2 - 7^2 ]  = sqrt (392) = 14sqrt 2

 

Volume of cone =   (1/3) pi (7)^2  * 14sqrt 2   = 686sqrt (2 ) / 3   pi   cm^3

 

 

cool cool cool

 Mar 3, 2024

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