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

3,052.1 in.3
3,052.1 inches cubed

381.5 in.3
381.5 inches cubed

190.8 in.3
190.8 inches cubed

113 in.3

The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere.

Since the diameter of the basketball is 9 inches, the radius is half of that, which is 4.5 inches.

Substituting the radius into the formula, we have V = (4/3)(3.14)(4.5)^3.

Calculating this expression, we get V ≈ 381.5 inches cubed.

Therefore, the answer is 381.5 in.3.