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if the volume of a cone is 345 and its height is 9 what is the area of the base

 May 17, 2016
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Vcone =   pi * r^2 * h / 3         where h is the height and pi* r^2 is the area of the base.....so we have....

 

345  = [ pi * r^2] * 9   / 3     multiply both sides by 3      

 

1035  /  [ 9 * pi]   = r^2         take the square root of both sides

 

√ ( [ 1035] /  [9 * pi]   )  =  r  = about 6.05 units

 

So....the base area =  pi * (6.05)^2  = about  115  units^2

 

 

 

cool cool cool

 May 17, 2016

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