Use the formula for the volume of a sphere to solve the following problem. How much air is needed to fill a basketball with a diameter of 9 in? Use 3.14 as an approximation for pi. Round your answer to the nearest tenth.
The formula for the volume of a sphere is given by V = 4/3 * π * r^3, where r is the radius of the sphere.
In this case, the diameter of the basketball is given as 9 inches. The radius of the sphere is therefore half of the diameter, which is 9/2 = 4.5 inches.
Now we can substitute this radius into the formula to find the volume:
V = 4/3 * 3.14 * (4.5)^3
= 4/3 * 3.14 * 91.125
≈ 381.70375
So, approximately 381.7 cubic inches of air is needed to fill the basketball.