Use the formula for the volume of a sphere to find the volume of a basketball that has a diameter of 9.2 in use 3.14 as an approximation for pi and round your answer to the nearest hundredth if necessary
The formula for the volume of a sphere is given by V = (4/3)πr³, where V represents the volume and r represents 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 given values into the formula:
V = (4/3) * 3.14 * (4.6 inches)³
Calculating the volume:
V = (4/3) * 3.14 * (4.6 inches)^3
V ≈ 4.19 * 4.6^3
V ≈ 4.19 * 97.336
V ≈ 406.75 cubic inches
Therefore, the volume of the basketball, rounded to the nearest hundredth, is approximately 406.75 cubic inches.