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

 

 May 2, 2024
 #1
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The  slant height of the cone =  21

 

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

 

The  radius of the cone can  be  found as

 

14 pi  = 2 pi * r

 

r = 7  

 

The height of the cone =  sqrt [ l^2 - r^2 ]  = sqrt [21^2 - 7^2 ]

 

Volume of the  cone  is

 

(1/3) pi *  r^2 * h   =

 

(1/3) pi  * (7)^2 * sqrt [ 21^2 - 7^2 ]  ≈  1015.94

 

 

cool cool cool

 May 2, 2024

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