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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 ball?

 Nov 28, 2019
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Volume of 8 steel balls =(4 π r^3)/3≈4.18879  x 8 =33.51032 cubic inches.

 

33.51032 =(4 π r^3)/3

 

r^3 =[33.51032 /(4/3*  π)

 

r^3 = 8

 

r = 8^(1/3)

 

r = 2 inches - the radius of big steel ball

 Nov 29, 2019

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