Use the formula for the volume of a sphere to find the volume of a basketball that has a diameter of 9.2 inches. Use 3.14 as an approximation for pi and round your answer to the nearest hundredth, if necessary.
The formula for the volume of a sphere is given by:
V = (4/3) * π * r^3
Given that the diameter of the basketball is 9.2 inches, we can find the radius by dividing the diameter by 2:
r = 9.2 / 2 = 4.6 inches
Now, let's substitute the values into the volume formula:
V = (4/3) * 3.14 * (4.6)^3
V ≈ 4.19 * 3.14 * 97.336
V ≈ 1287.244 cubic inches
Rounding to the nearest hundredth:
V ≈ 1287.24 cubic inches
Therefore, the volume of the basketball is approximately 1287.24 cubic inches.