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
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:
radius = 9.2 inches / 2 = 4.6 inches
Substituting this value into the volume formula:
V = (4/3)π(4.6)^3
Using 3.14 as an approximation for π:
V = (4/3)(3.14)(4.6)^3
V ≈ (4/3)(3.14)(97.336)
V ≈ 410.156 cubic inches
So, the volume of the basketball is approximately 410.156 cubic inches.