Use the formula for the volume of a sphere to solve the following problem.%0D%0A%0D%0AHow 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.%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A3,052.1 in.3%0D%0A3,052.1 inches cubed%0D%0A%0D%0A190.8 in.3%0D%0A190.8 inches cubed%0D%0A%0D%0A113 in.3%0D%0A113 inches cubed%0D%0A%0D%0A381.5 in.3
The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius of the sphere.
Since the basketball has a diameter of 9 inches, the radius would be half of the diameter, which is 4.5 inches.
Now, we can substitute the radius into the formula:
V = (4/3) * 3.14 * (4.5)^3
= (4/3) * 3.14 * 91.125
≈ 381.5 in.³
Therefore, approximately 381.5 cubic inches of air is needed to fill the basketball.