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)Responses190.8 in.3190.8 inches cubed3,052.1 in.33,052.1 inches cubed381.5 in.3381.5 inches cubed113 in.3
To find the volume of the basketball, you can use the formula for the volume of a sphere:
V = (4/3) * π * r^3
Given that the diameter of the basketball is 9 inches, the radius (r) is half of that, so r = 9/2 = 4.5 inches.
Plugging this value into the formula:
V = (4/3) * 3.14 * (4.5)^3
V = (4/3) * 3.14 * 91.125
V = 376.773 cubic inches
Therefore, approximately 376.8 inches of air is needed to fill the basketball. Rounding to the nearest tenth gives the answer as 376.8 inches cubed.