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.(1 point)
Responses
115.55 in.3
115.55 inches cubed
3,260.11 in.3
3,260.11 inches cubed
1,222.54 in.3
1,222.54 in cubed
407.51 in.3
To find the volume of a sphere, we use the formula V = (4/3)πr^3, where r is the radius of the sphere. In this case, the diameter of the basketball is 9.2 inches, so the radius is half of that, or 4.6 inches.
Substituting this value into the formula, we get V = (4/3)(3.14)(4.6)^3.
Calculating this expression gives us V ≈ 407.51 inches cubed.
So the correct answer is 407.51 in.3.