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?
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
Thanks so much, CPhill!
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