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
3,052.1 in.3
3,052.1 inches cubed
381.5 in.3
381.5 inches cubed
113 in.3
113 inches cubed
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere.
In this case, the diameter of the basketball is 9 inches, so the radius would be half of that, which is 4.5 inches.
Plugging this value into the formula, we get V = (4/3)(3.14)(4.5^3) = 381.5 in.3
Therefore, the answer is 381.5 inches cubed (option C).