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 100 if necessary
The formula for the volume of a sphere is given by:
V = (4/3)πr³
where V is the volume and r is the radius of the sphere.
In this case, we are given the diameter of the basketball, which is 9.2 inches. The radius of the sphere can be calculated by dividing the diameter by 2:
r = 9.2 in / 2 = 4.6 in
Using the given approximation of π as 3.14, we can substitute the values into the formula to calculate the volume:
V = (4/3) * 3.14 * (4.6 in)³
≈ 4.19 * 3.14 * (97.336 in³)
≈ 1290.242 in³
Therefore, the volume of the basketball is approximately 1290.242 cubic inches.