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)
○ 381.5 in.³
O 3,052.1 in.3
O 113 in.3
○ 190.8 in.³
First, we need to convert the diameter of the basketball into the radius by dividing it by 2:
Radius = 9 inches / 2 = 4.5 inches
Now, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)(3.14)(4.5)³
V = (4/3)(3.14)(91.125)
V = 381.55 in.³
Rounded to the nearest tenth, the amount of air needed to fill the basketball is 381.5 in.³.