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Sean has 12 cylindrical containers filled with sand, each of which has a radius of 4 centimeters. He wants to transfer his sand into some new cylindrical containers, which are the same height but have a radius of 8 centimeters. How many new containers will Sean need?

 Jun 15, 2021

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 #1
avatar+129847 
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Volume   of   the  12 cylinders =    12  *  pi  *  4^2  * h  =    192 pi * h

 

So

 

192  pi  * h    =    N  *   pi  *  ( 8^2)  *  h           divide out  h  and pi   and simplify

 

192  =     N *  64

 

192 /  64   =  N

 

3  =  N   =  the  number  of new  containers   needed

 

cool cool cool

 Jun 15, 2021

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