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

 

 Jan 9, 2024
 #1
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Circumference of  cone base =   ( 2 pi ) (36) (150 / 360)  =   30 pi

 

Radius of cone =    30 pi  / ( 2 pi )  =  15  =   r

 

Height of cone =  sqrt [ 36^2 - 15^2 ]  =  sqrt [ 1071 ]  =   3sqrt (119)

 

Volume of  cone =   (1/3) pi  r^2 * h   =   (1/3) pi * (15 )^2 *  3 sqrt (119)  = 

 

225 sqrt (119)  pi ≈   7710.9

 

 

cool cool cool

 Jan 9, 2024

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