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avatar+2766 

The same amount of steel used to create eight solid steel balls, each with a radius of 1 inch, is used to create one larger steel ball. What is the radius of the larger ball?
 

tertre  Mar 25, 2018
 #1
avatar+87562 
+1

The  volume  of the 8 steel balls  =

 

8 * (4/3)pi    =    32/3 pi

 

So....to find the radius, r, of the large ball, we have

 

32/3 pi  =  (4/3)pi (r)^3

 

(32/ 3) (3/4)  = r^3

 

32 / 4  =  r^3

 

8  =  r^3

 

r  = 2

 

 

cool cool cool

CPhill  Mar 25, 2018
 #2
avatar+2766 
+1

Thanks so much, CPhill!

tertre  Mar 25, 2018

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