Question

Use the formula for the volume of a sphere to find the volume of a basketball that has a diameter of 9.2 inches. Use 3.14 as an approximation for pi and round your answer to the nearest hundredth, if necessary.(1 point)

Responses

115.55 in.3

3,260.11 in.3

1,222.54 in.3

407.51 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.

Given that the diameter of the basketball is 9.2 inches, the radius would be half of that, which is 4.6 inches.

Now, substitute r = 4.6 inches and π = 3.14 into the formula:

V = (4/3) * 3.14 * (4.6)^3
V ≈ (4/3) * 3.14 * 96.6296
V ≈ 404.78 in.3

Rounded to the nearest hundredth, the volume of the basketball is approximately 404.78 in.3.