Question

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

Answer 1

wrong

Answer 2

The formula for the volume of a sphere is given by:

V = (4/3) * π * r^3,

where V is the volume and r is the radius of the sphere.

Given that 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.

Now we can plug in the values into the formula and calculate the volume:

V = (4/3) * 3.14 * (4.6)^3
V ≈ 4.19 * 4.6 * 4.6 * 4.6
V ≈ 357.86 cubic inches.

Rounded to the nearest hundredth, the volume of the basketball is approximately 357.86 cubic inches.

Answer 3

I apologize for the mistake. Let me recalculate the volume correctly.

Using the formula: V = (4/3) * π * r^3

Given that 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.

Now we can plug in the values into the formula and calculate the volume:

V = (4/3) * 3.14 * (4.6)^3
V = (4/3) * 3.14 * 97.3664
V ≈ 514.6668 cubic inches.

Rounded to the nearest hundredth, the volume of the basketball is approximately 514.67 cubic inches.