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
407.51 in.3
407.51 inches cubed
1,222.54 in.3
1,222.54 in cubed
3,260.11 in.3
3,260.11 inches cubed
115.55 in.3
115.55 inches cubed
The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius of the sphere. Since the diameter is given as 9.2 inches, the radius would be half of that, which is 4.6 inches.
Plugging in the values, we get:
V = (4/3)(3.14)(4.6)^3
V = (4/3)(3.14)(97.336)
V = 407.506 inches cubed
Rounded to the nearest hundredth, the volume of the basketball is 407.51 inches cubed.
Therefore, the correct response is:
407.51 in.3
407.51 inches cubed