Question

Use the formula 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.
a 190.8 in^3
b 113 in^3
c 381.5 in^3
d 3,052.1 in^3

Answer 1

[AI-generated answer — Bot GPT 3.5]

The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere.

First, we need to find the radius of the basketball. The diameter is given as 9 inches, so the radius is half of that, which is 4.5 inches.

Now we can plug the radius into the formula and calculate the volume:
V = (4/3) * 3.14 * 4.5^3
V ≈ 190.8 in^3

Therefore, the answer is:
a) 190.8 in^3