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

1 answer

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.
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