Final answer:
The radius of the ball is approximately 12.05 units.
Step-by-step explanation:
To find the radius of a ball given its volume, we can use the formula for the volume of a sphere: V = (4/3)πr^3, where V is the volume and r is the radius.
Plugging in the given volume of 5,575.28 cubic units, we can solve for the radius:
(4/3)πr^3 = 5,575.28
Dividing both sides of the equation by (4/3)π and then taking the cube root, we can find the radius:
r = (√∛5,575.28) / (√∛(4/3)π)
Calculating this, we get r ≈ 12.05 units. Therefore, the radius of the ball is approximately 12.05 units.
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