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
1,222.54 in.3
1,222.54 in cubed
3,260.11 in.3
3,260.11 inches cubed
407.51 in.3
407.51 inches cubed
115.55 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.
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 r into the formula to find the volume:
V = (4/3)π(4.6)^3 ≈ 407.518 in.3
Therefore, the volume of the basketball is approximately 407.51 in.3 (rounded to the nearest hundredth).
Therefore, the correct response is:
407.51 in.3