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
A. 1,222.54 in.^3
B. 407.51 in.^3
C. 115.55 in.^3
D. 3,260.11 in.^3
The formula for the volume of a sphere is V = (4/3) * pi * r^3, where r is the radius of the sphere.
Given that the diameter of the basketball is 9.2 inches, the radius r is half of the diameter, which is 4.6 inches.
Now, plug in the values into the formula:
V = (4/3) * 3.14 * (4.6)^3
V = (4/3) * 3.14 * 97.336
V = 411.50 cubic inches
Rounded to the nearest hundredth, the volume of the basketball is approximately 411.50 in.^3.
Therefore, the correct answer is B. 407.51 in.^3.