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
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere.
Given that the diameter of the basketball is 9 inches, we can find the radius by dividing the diameter by 2: r = 9/2 = 4.5 inches.
Substituting the value of r into the formula, we have V = (4/3)π(4.5)^3.
Calculating this expression, we get V ≈ (4/3)(3.14)(4.5^3) ≈ (4/3)(3.14)(91.125) ≈ 381.66 cubic inches.
Therefore, approximately 381.66 cubic inches of air is needed to fill the basketball.