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
115.55 in.3
115.55 inches cubed
407.51 in.3
407.51 inches cubed
3,260.11 in.3
3,260.11 inches cubed
1,222.54 in.3
1,222.54 in cubed
Responses
115.55 in.3
115.55 inches cubed
407.51 in.3
407.51 inches cubed
3,260.11 in.3
3,260.11 inches cubed
1,222.54 in.3
1,222.54 in cubed
Answers
GPT 3.5
To find the volume of a sphere, we can use the formula:
V = (4/3) * π * r^3
Given the diameter of the basketball is 9.2 inches, we can calculate the radius by dividing the diameter by 2:
r = 9.2 / 2 = 4.6 inches
Substituting this value into the volume formula:
V = (4/3) * 3.14 * (4.6^3)
V = (4/3) * 3.14 * (97.336)
V ≈ 407.515
Rounding to the nearest hundredth, the volume of the basketball is approximately 407.51 inches cubed. Therefore, the correct answer is:
407.51 in.3
407.51 inches cubed
V = (4/3) * π * r^3
Given the diameter of the basketball is 9.2 inches, we can calculate the radius by dividing the diameter by 2:
r = 9.2 / 2 = 4.6 inches
Substituting this value into the volume formula:
V = (4/3) * 3.14 * (4.6^3)
V = (4/3) * 3.14 * (97.336)
V ≈ 407.515
Rounding to the nearest hundredth, the volume of the basketball is approximately 407.51 inches cubed. Therefore, the correct answer is:
407.51 in.3
407.51 inches cubed