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) Responses 190.8 in.3 190.8 inches cubed 381.5 in.3 381.5 inches cubed 113 in.3 113 inches cubed 3,052.1 in.3 3,052.1 inches cubed
To find the volume of a sphere, you use the formula V = (4/3)πr^3, where r is the radius of the sphere.
Given that the diameter of the basketball is 9 inches, the radius would be half of that, which is 4.5 inches.
Let's substitute r = 4.5 into the formula:
V = (4/3)π(4.5)^3
V ≈ (4/3)π(91.125)
V ≈ (121.5)π
V ≈ 381.5 inches cubed
Therefore, you would need 381.5 in.3 of air to fill the basketball. The answer is closest to 381.5 in.3.