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
381.5 in.3
381.5 inches cubed
3,052.1 in.3
3,052.1 inches cubed
190.8 in.3
190.8 inches cubed
113 in.3
The formula for the volume of a sphere is V = (4/3) * pi * r^3, where r is the radius of the sphere.
Since the diameter of the basketball is 9 inches, the radius would be half of that, which is 4.5 inches.
Substituting the values into the formula, we get V = (4/3) * 3.14 * (4.5^3) = 381.5 inches cubed.
Therefore, the answer is 381.5 inches cubed.