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)

Question

Responses

115.55 in.3
115.55 inches cubed

1,222.54 in.3
1,222.54 in cubed

407.51 in.3
407.51 inches cubed

3,260.11 in.3

Answer 1

To find the volume of a sphere, we use the formula:

V = (4/3)πr^3

Given that the basketball has a diameter of 9.2 inches, we can divide the diameter by 2 to find the radius:

r = 9.2 / 2 = 4.6 inches

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

V = (4/3)π(4.6)^3

V ≈ 407.51 inches cubed

Therefore, the volume of the basketball is approximately 407.51 in.3