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.
A. 407.51 in.^3
B. 115.55 in.^3
C. 1,222.54 in.^3
D. 3,260.11 in.^3
The formula for the volume of a sphere is given by V = (4/3) * pi * r^3, where r is the radius of the sphere.
Since the diameter of the basketball is given as 9.2 inches, the radius can be found by dividing the diameter by 2:
radius = diameter / 2 = 9.2 / 2 = 4.6 inches
Substituting this value into the formula, we get:
V = (4/3) * 3.14 * (4.6)^3
= (4/3) * 3.14 * 97.336
≈ 407.51 inches^3
Rounding to the nearest hundredth, the volume of the basketball is approximately 407.51 inches^3. Therefore, the correct answer is option A.