Answer: Exact volume is 2304pi cubic yards
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Work Shown:
V = (4/3)*pi*r^3 is the volume of any sphere with radius r
We have r = 12 as our radius
V = (4/3)*pi*12^3
V = (4/3)*pi*1728
V = (4/3)*1728*pi
V = 2304pi is the exact volume in terms of pi
To get the approximate volume, replace pi with 3.14 or any decimal approximation of pi, and use your calculator. Or you can hit the pi button on your calculator to have the calculator use its stored value.
If you use pi = 3.14, then the approximate volume is roughly 7234.56 cubic yards.