Answer :
Final answer:
The radius of the basketball is approximately 5.7 inches.
Explanation:
To find the radius of the basketball, we need to use the formula for the volume of a sphere. The formula is:
V = (4/3)πr³
We know that the volume of the basketball is approximately 448.9 in³, so we can set up the equation:
448.9 = (4/3)πr³
To solve for r, we need to isolate it on one side of the equation. First, divide both sides of the equation by (4/3)π:
r³ = 448.9 / ((4/3)π)
Next, take the cube root of both sides:
r = (448.9 / ((4/3)π))^(1/3)
Using a calculator, we find that r is approximately 5.7 inches (rounded to the nearest tenth).
