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)

a.3,260.11 in.³
b. 1,222.54 in.³
c.115.55 in.³
d. 407.51 in.³

Answer 1

To find the volume of a basketball with a 9.2-inch diameter, calculate the radius (half of the diameter), and then use the formula V = 4/3 (pi) (r)³ to find the volume, which comes out to 1282.78 in.³ when rounded to the nearest hundredth.Option B is the correct answer.

Step-by-step explanation:

The formula for the volume of a sphere is V = 4/3 (pi) (r)³, where V represents the volume and r represents the radius of the sphere. Given the diameter of the basketball is 9.2 inches, we first find the radius by dividing the diameter by 2, which gives us a radius of 4.6 inches. We then substitute the values into the volume formula: V = 4/3 * 3.14 * (4.6 inches)³.

Carrying out the calculation:
V = 4/3 * 3.14 * (4.6³)
V = 4/3 * 3.14 * 97.336
V = 4.18667 * 3.14 * 97.336
V = 1282.78232832
When rounded to the nearest hundredth, we get V = 1282.78 in.³.

Therefore, the volume of the basketball is 1282.78 in.³.