Question

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

3,052.1 in.3
3,052.1 inches cubed

381.5 in.3
381.5 inches cubed

113 in.3
113 inches cubed

Answer 1

The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius. In this case, the diameter of the basketball is 9 inches, so the radius is half of that, which is 4.5 inches.

Plugging in the values into the formula, we get V = (4/3)(3.14)(4.5)^3.

Calculating this, we get V ≈ 381.5 in.^3.

Therefore, the answer is 381.5 in.3.