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) Responses 1,222.54 in.3 1,222.54 in cubed 115.55 in.3 115.55 inches cubed 407.51 in.3 407.51 inches cubed 3,260.11 in.3
The formula for the volume of a sphere is V = (4/3) * π * r^3, where V is the volume, π is approximately 3.14, and r is the radius.
Given that the diameter of the basketball is 9.2 inches, the radius (r) is half of the diameter, which is 9.2 / 2 = 4.6 inches.
Plugging in the values into the formula, we have:
V = (4/3) * 3.14 * (4.6)^3
V = (4/3) * 3.14 * (97.336)
V = 4.1866666666666665 * 97.336
V = 407.5130672 in^3
Rounding to the nearest hundredth, the volume of the basketball is approximately 407.51 in^3. Therefore the correct answer is 407.51 inches cubed.