The formula for the volume of a sphere is given by V = (4/3)Ï€r^3, where V is the volume and r is the radius.
Given that the diameter of the basketball is 9 inches, we can find the radius by dividing the diameter by 2.
So, the radius (r) of the basketball is 9/2 = 4.5 inches.
Now, we can substitute the value of the radius into the formula for the volume of a sphere:
V = (4/3)Ï€(4.5)^3
V = (4/3)(3.14)(4.5)^3
V = (4/3)(3.14)(91.125)
V ≈ 381.65
Rounding to the nearest tenth, the air needed to fill the basketball is approximately 381.5 in.3.
Therefore, the correct answer is:
381.5 in.3
381.5 inches cubed