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

 

 Dec 27, 2023
 #1
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l =  21 cm

 

Circumference  of  cone =  (120/360)* 2pi (21) =  14 pi   cm

 

Radius of  cone  =   14 pi / 2pi  =   7   cm  = r

 

Volume of cone =   (1/3) pi r^2 * [sqrt ( l^2 - r^2 ) ]  = 

 

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

 

 

cool cool cool

 Dec 28, 2023

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