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. 113 in^3.
2. 190.8 in^3.
3. 3,052.1 in^3.
4. 381.5 in^3.
its actually 381.5 in.^3
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 basketball has a diameter of 9 inches, the radius is half of the diameter which is 9/2 = 4.5 inches.
Using the volume formula, we can calculate the volume of the sphere:
V = (4/3)π(4.5)^3
V ≈ 4.19π
V ≈ 4.19(3.14)
V ≈ 13.15
Rounding to the nearest tenth, the answer is approximately 13.2 in³.
Therefore, the correct answer is 2. 190.8 in³.