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.

a 3,260.11 in^3
b 407.51 in^3
c 1,222.54 in^3
d 115.55 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 the diameter, which is 4.6 inches.

Now we can substitute the value of r into the formula:

V = (4/3)π(4.6)^3

Using the approximation for pi, which is 3.14, we get:

V ≈ (4/3)(3.14)(4.6)^3

V ≈ 407.516 in^3

Rounding this to the nearest hundredth, the volume of the basketball is approximately 407.51 in^3.

Therefore, the correct answer is b) 407.51 in^3.