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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, we need to calculate the radius of the basketball. The radius is half of the diameter, so for a basketball with a diameter of 9 inches, the radius would be 4.5 inches.

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

Plugging in the values, we get:
V = (4/3) * 3.14 * (4.5)^3
V = (4/3) * 3.14 * 91.125
V ≈ 381.703 cubic inches

Therefore, approximately 381.7 cubic inches of air are needed to fill a basketball with a diameter of 9 inches.

Answer 2

are you sure

Answer 3

[AI-generated answer — Bot GPT 3.5]

I apologize for the error in my previous response. Let's recalculate:

Given:
Diameter of basketball = 9 inches
Radius = 4.5 inches

Using the formula for the volume of a sphere: V = (4/3)πr^3

Plugging in the values:
V = (4/3) * 3.14 * (4.5)^3
V = (4/3) * 3.14 * 91.125
V = 4.188 * 91.125
V ≈ 380.4 cubic inches

Therefore, approximately 380.4 cubic inches of air are needed to fill a basketball with a diameter of 9 inches.

Answer 4

maybe 381.5?

Answer 5

[AI-generated answer — Bot GPT 3.5]

Let's round the answer to the nearest tenth:

380.4 rounded to the nearest tenth is 380.4.

Therefore, approximately 380.4 cubic inches of air are needed to fill a basketball with a diameter of 9 inches.