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.
a. 407.51 in. ^3
b. 3,260.11 in. ^3
c. 115.55 in. ^3
d. 1,222.54 in. ^3
a. 407.51 in. ^3
b. 3,260.11 in. ^3
c. 115.55 in. ^3
d. 1,222.54 in. ^3
Answers
GPT 3.5
To find the volume of a sphere, we use the formula V = (4/3)πr^3, where r is the radius of the sphere.
Given that the diameter of the basketball is 9.2 inches, the radius (r) is half of the diameter, so r = 9.2 / 2 = 4.6 inches.
Now, plug in the value of the radius into the volume formula:
V = (4/3) * 3.14 * (4.6)^3
V = (4/3) * 3.14 * 97.336
V = 3.14 * 129.78133333333334
V = 407.50866666667 in.^3
Rounded to the nearest hundredth, the volume of the basketball is approximately 407.51 in.^3. So the correct answer is:
a. 407.51 in. ^3
Given that the diameter of the basketball is 9.2 inches, the radius (r) is half of the diameter, so r = 9.2 / 2 = 4.6 inches.
Now, plug in the value of the radius into the volume formula:
V = (4/3) * 3.14 * (4.6)^3
V = (4/3) * 3.14 * 97.336
V = 3.14 * 129.78133333333334
V = 407.50866666667 in.^3
Rounded to the nearest hundredth, the volume of the basketball is approximately 407.51 in.^3. So the correct answer is:
a. 407.51 in. ^3