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 inches? Use 3.14 as an approximation for pi. Round your answer to the nearest tenth.
O 381.5 in.^3
O 3,052.1 in.^3
O 190.8 in.^3
O 113 in.^3
The formula for the volume of a sphere is V = (4/3) * pi * r^3, where r is the radius of the sphere.
The diameter of the basketball is 9 inches, so the radius is half of that, which is 4.5 inches.
Plugging in the values into the volume formula, we get V = (4/3) * 3.14 * (4.5^3).
Calculating this expression, we get V = 381.54.
Rounding this answer to the nearest tenth, the correct option is:
Option O 381.5 in.^3.
Therefore, approximately 381.5 cubic inches of air is needed to fill the basketball.