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A cone has a lateral surface area of 540pi and a slant height of 36. Unrolling the curved surface gives a circular sector with center angle n degrees. Find n.

 Apr 25, 2022
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The slant height wil be the radius of the sector......we have

 

540 pi  =  (1/2) r^2  ( theta ) in rads

 

1080 pi  =  36^2  ( theta )

 

1080 pi  /36^2   = (theta)

 

To convert this into degrees :

 

(1080 pi) /36^2  *   180°  / pi   =  150°

 

cool cool cool

 Apr 25, 2022

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