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.(1 point)Responses381.5 in.3381.5 inches cubed190.8 in.3190.8 inches cubed113 in.3113 inches cubed3,052.1 in.3
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius.
Given that the diameter of the basketball is 9 inches, the radius would be half of that, so r = 4.5 inches.
Plugging in the values:
V = (4/3)π(4.5)^3
V = (4/3)π(91.125)
V = (4/3)(3.14)(91.125)
V = 381.5 inches cubed
Therefore, 381.5 inches cubed of air is needed to fill a basketball with a diameter of 9 inches. Rounded to the nearest tenth, the answer is 381.5 inches cubed.