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First, we need to calculate the radius of the basketball, which is half of the diameter:
Radius = 9.2 inches / 2 = 4.6 inches
Now, we can use the formula for the volume of a sphere:
Volume = (4/3) * π * r^3
Volume = (4/3) * 3.14 * 4.6^3
Volume = (4/3) * 3.14 * 97.336
Volume = 410.79
Rounded to the nearest hundredth, the volume of the basketball is 410.79 inches cubed.