To find the volume of a sphere, we use the formula:
V = (4/3) * π * r³
where V is the volume and r is the radius of the sphere. In this case, the radius is 6 inches. Let’s calculate it step by step.
First, we plug the radius into the formula:
V = (4/3) * π * (6)³
Now, we need to calculate (6)³:
(6)³ = 6 * 6 * 6 = 216
Next, we substitute this back into the volume formula:
V = (4/3) * π * 216
Now, we can multiply:
(4/3) * 216 = 288
So now our equation looks like:
V = 288π
Finally, if you want a numerical approximation, you can substitute π with approximately 3.14:
V ≈ 288 * 3.14 ≈ 904.32 cubic inches
Therefore, the volume of a sphere with a radius of 6 inches is approximately 904.32 cubic inches.