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)
O 1, 222.54 in.³
O 407.51 in.³
O 3, 260.11 in.3
○ 115.55 in.³

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, we need to find the radius of the basketball, since the formula for the volume of a sphere is V = (4/3)πr³.

Given that the diameter of the basketball is 9.2 inches, the radius would be half of the diameter:
r = 9.2 / 2 = 4.6 inches

Now, we can plug this radius into the formula for the volume of a sphere:
V = (4/3)π(4.6)³
V ≈ (4/3) * 3.14 * 97.336
V ≈ 411.52 in.³

Rounded to the nearest hundredth, the volume of the basketball is 411.52 in.³.

Therefore, the closest answer choice is 407.51 in.³.