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
1,222.54 in.3
1,222.54 in cubed
3,260.11 in.3
3,260.11 inches cubed
407.51 in.3
Responses
115.55 in.3
115.55 inches cubed
1,222.54 in.3
1,222.54 in cubed
3,260.11 in.3
3,260.11 inches cubed
407.51 in.3
Answers
GPT 3.5
To find the volume of a sphere, you can use the formula:
V = (4/3) * π * r^3
where V is the volume, π is approximately 3.14, and r is the radius of the sphere.
Given that the diameter of the basketball is 9.2 inches, the radius would be half of that:
r = 9.2 / 2 = 4.6 inches
Now, substitute the values into the formula:
V = (4/3) * 3.14 * (4.6)^3
V ≈ 1,222.54 inches cubed
Therefore, the volume of the basketball is approximately 1,222.54 inches cubed.
V = (4/3) * π * r^3
where V is the volume, π is approximately 3.14, and r is the radius of the sphere.
Given that the diameter of the basketball is 9.2 inches, the radius would be half of that:
r = 9.2 / 2 = 4.6 inches
Now, substitute the values into the formula:
V = (4/3) * 3.14 * (4.6)^3
V ≈ 1,222.54 inches cubed
Therefore, the volume of the basketball is approximately 1,222.54 inches cubed.