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 113 in.3 113 inches cubed 3,052.1 in.3 3,052.1 inches cubed 190.8 in.3 190.8 inches cubed 381.5 in.3
The formula for the volume of a sphere is V = (4/3)πr^3.
First, we need to find the radius of the basketball. The diameter is given as 9 inches, so the radius is half of that, or 4.5 inches.
Next, we can plug the radius into the formula to find the volume:
V = (4/3)(3.14)(4.5^3)
V ≈ 381.5 in.3
Therefore, the amount of air needed to fill the basketball is approximately 381.5 inches cubed.