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The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere.
Given that the volume is 43π m^3, we can set up the equation:
43π = (4/3)πr^3
Now we can solve for the radius:
r^3 = (3/4)(43)
r^3 = 32.25
r = ∛(32.25)
r ≈ 3.18
Therefore, the radius of the sphere is approximately 3.18 meters.