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 can be calculated using the formula V = (4/3)πr³, where r is the radius of the sphere.
Given that the diameter of the basketball is 9 inches, the radius (r) can be calculated as half of the diameter, which is 4.5 inches.
Substitute the radius into the formula:
V = (4/3) x 3.14 x 4.5³
V = (4/3) x 3.14 x 91.125
V = 381.47 cubic inches
Rounded to the nearest tenth, the amount of air needed to fill a basketball is 381.5 inches cubed.
Therefore, the correct answer is:
381.5 inches cubed.