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A circular sheet of paper of radius 6 inches is cut into 4 equal sectors, and each sector is formed into a cone with no overlap. What is the height in inches of the cone?

 Jun 27, 2022
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The slant height of each cone =  the radius of the original circle 6 in

 

The circumference of  each  cone at the base =  Circumference of the  circle /  4 =   (2pi) (6)  / 4 =     3 pi

 

C = 2pi r

 

3 pi  =  2pi * r                  divide both sides by 2 pi

 

3/2  = r =   1.5 in

 

The height of each cone  = 

 

sqrt  [ slant height ^2  - radius^2 ] =

 

sqrt  [ ( 6)^2   -  1.5^2 ] =    sqrt   [ 36 - 2.25 ]  ≈  5.8  in 

 

 

 

cool cool cool

 Jun 27, 2022

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