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 and round your answer to the nearest hundredth, if necessary (1 point)
The formula for the volume of a sphere is 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, we can substitute the value of the radius into the volume formula:
V = (4/3)π(4.6 inches)^3
V ≈ (4/3) * (3.14) * (4.6 inches)^3
V ≈ (4/3) * (3.14) * (97.336 inches^3)
V ≈ (4/3) * (3.14) * 97.336 inches^3
V ≈ 407.547 inches^3
Rounded to the nearest hundredth, the volume of the basketball is approximately 407.55 cubic inches.