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)Responses407.51 in.3407.51 inches cubed115.55 in.3115.55 inches cubed1,222.54 in.31,222.54 in cubed3,260.11 in.3
To find the volume of a sphere, we can use the formula V = (4/3)πr^3, where r is the radius of the sphere.
First, we need to find the radius of the basketball, which is half of the diameter:
radius = 9.2 inches / 2 = 4.6 inches
Now, we can plug the radius into the volume formula:
V = (4/3)(3.14)(4.6)^3
V = (4/3)(3.14)(97.336)
V = (4.18666667)(97.336)
V ≈ 407.51 inches cubed
Therefore, the volume of the basketball is approximately 407.51 inches cubed.