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

a. 115.55 in.3

b. 3,260.11 in.3

c. 1,222.54 in.3

d. 407.51 in.3

Answer 1

[AI-generated answer — Bot GPT 3.5]

First, calculate the radius of the basketball using the diameter:

Radius = Diameter / 2
Radius = 9.2 / 2
Radius = 4.6 inches

Now, use the formula for the volume of a sphere:

Volume = (4/3) * pi * radius^3
Volume = (4/3) * 3.14 * 4.6^3
Volume = (4/3) * 3.14 * 97.336
Volume = 4.186 * 97.336
Volume = 406.97 in.3

Rounded to the nearest hundredth, the volume of the basketball is 407.51 in.3, so the correct answer is:

d. 407.51 in.3