Question
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
407.51 in.3
407.51 inches cubed
3,260.11 in.3
3,260.11 inches cubed
115.55 in.3
To find the volume of a sphere, you need to use the formula:
V = (4/3)π r^3
Given that the diameter of the basketball is 9.2 inches, we first need to find the radius, which is half the diameter:
r = 9.2 / 2 = 4.6 inches
Now, substitute the value of the radius into the formula and use 3.14 as the approximation for π:
V ≈ (4/3) * 3.14 * (4.6)^3
V ≈ (4/3) * 3.14 * 97.336
V ≈ 407.51 in^3
Therefore, the volume of the basketball is approximately 407.51 in^3.