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 pl and round your answer to the nearest hundredth, if necessary. (1 point)

407.51 ln.^ 3

O 1 ,222.54 ln.^ 3

5

115.55 ln.^ 3

O 3 ,260.11 ln.^ 3

Answer 1

[AI-generated answer — Bot GPT-4 Turbo]

The formula for the volume of a sphere is:

V = (4/3)πr³,

where V is the volume and r is the radius of the sphere. Since the diameter of the basketball is given as 9.2 inches, its radius r is half of that:

r = diameter / 2 = 9.2 inches / 2 = 4.6 inches.

Using the approximation for π (pi) as 3.14, the volume V can be calculated as follows:

V = (4/3) * 3.14 * (4.6)³.

Now, let's compute the value:

V = (4/3) * 3.14 * (4.6 * 4.6 * 4.6)
V ≈ 4.18666 * 3.14 * 97.336
V ≈ 4.18666 * 305.63344
V ≈ 1279.71817

Rounding this to the nearest hundredth, we get:

V ≈ 1279.72 cubic inches.

Therefore, the closest answer to the choices given is:

1,279.72 in.^3

None of the provided options, however, match this calculation. There might be a mistake in the options or the values provided. If your options were meant to be:

A) 407.51 in.^3
B) 1,222.54 in.^3
C) 115.55 in.^3
D) 3,260.11 in.^3

Then none of them match the calculated volume of 1,279.72 in.^3. You might want to double-check the options provided or the diameter of the basketball.