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A cone has a surface area of 360*pi in^2 and volume 800*pi in^3. The cone is dilated, and the surface area of the dilated coin is 2,250*pi in^2. What is the dilated cone's volume?

 Jun 6, 2022
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Each dimension of the dilated cone will have a scale factor of  sqrt [  (2250 / 360)] =  sqrt (6.25)  = 2.5 

 

So...the dilated cone's volume =   800pi * (2.5)^3  =  12500 pi  (in^3)

 

 

cool cool cool   

 Jun 6, 2022

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