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A circle has a radius of 25. A circular sector, with an angle of 320 degrees at the center, is cut from the circle, and then rolled to form a cone. Find the volume of the cone.

 May 2, 2021
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Circle radius   R = 25         ( "R" is also the slant height of a cone ) 

 

Sector arc = 320º

 

Cone radius   r = 25(320/360)

 

Cone height    h = sqrt(R2 - r2)

 

Cone volume    V = 1/3(πr2h)

 May 3, 2021

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