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 a approximation for pi and round your answer to the nearest hundredth, if necessary. (1 point) 1, 222.54in .^ 3; 3, 260.11in .^ 3; 115.55in .^ 3; 407.51in .^ 3
The formula for the volume of a sphere is given by 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, substituting the value of r into the volume formula, we have:
V = (4/3)π(4.6^3) = (4/3)(3.14)(4.6^3) ≈ 407.51in^3.
Therefore, the volume of the basketball is approximately 407.51in^3.