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 381.5 in.3 381.5 inches cubed 3,052.1 in.3 3,052.1 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. Here, the diameter of the basketball is given as 9 inches, so the radius is half the diameter, or 9 / 2 = 4.5 inches.
Using 3.14 as an approximation for π, we can substitute the values into the formula and solve for the volume:
V = (4/3)π(4.5)^3
= (4/3) * 3.14 * 91.125
≈ 380.19
Rounding to the nearest tenth, the air needed to fill the basketball is approximately 380.2 in³.
Therefore, the correct answer is "381.5 inches cubed."