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The volume of the cone is 6 cubic inches. What is the height of a cone with the same base diameter but a volume of only 3 cubic inches?

 May 12, 2020
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We have  that

 

6 =  (1/3)pi r^2 h

 

Note that if we (1/2) the  height, the new volume  is

 

[(1/3) pi *r^2 (1/2)h ]  =  [ (1/3) pi r^2 h ] (1/2)  =    [ 6 ] (1/2)  = 3

 

So  the height of the cone with a volume of 3 is (1/2) the height of the cone with a volume of 6

 

cool cool cool

 May 12, 2020

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