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 hundredths, if necessary.

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, we can find the radius by dividing the diameter by 2: r = 9.2 inches / 2 = 4.6 inches.

Now we can calculate the volume using the formula:
V = (4/3)π(4.6 inches)^3

Using 3.14 as an approximation for π:
V ≈ (4/3)(3.14)(4.6 inches)^3

Simplifying:
V ≈ (4/3)(3.14)(97.336 inches^3)

V ≈ 407.203 cubic inches

Rounding to the nearest hundredths:
V ≈ 407.20 cubic inches

Therefore, the volume of the basketball is approximately 407.20 cubic inches.