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

a. 190.8 in.3

b. 3,052.1 in.3

c. 381.5 in.3

d. 113 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. Since the diameter of the basketball is 9 inches, the radius (r) is half of that, which is 4.5 inches.

Plugging in the values:

V = (4/3)(3.14)(4.5)^3
V = (4/3)(3.14)(91.125)
V = 381.55 in.^3

Therefore, the amount of air needed to fill a basketball with a diameter of 9 inches is 381.5 in.^3. The nearest tenth is 381.5 in.^3, so the answer is:

c. 381.5 in.^3