To find the volume of a ball (or sphere), you can use the formula:
Volume = (4/3) × π × r³
In this formula, r is the radius of the sphere. Since the diameter of the ball is 6 inches, the radius would be half of that:
r = diameter / 2 = 6 inches / 2 = 3 inches
Now, substitute the radius into the volume formula:
Volume = (4/3) × π × (3 inches)³
Calculating the radius cubed:
(3 inches)³ = 27 cubic inches
Now plug that value back into the volume formula:
Volume = (4/3) × π × 27 cubic inches
Volume ≈ (4/3) × 3.14 × 27 ≈ 113.1 cubic inches
Therefore, the volume of the ball with a diameter of 6 inches is approximately 113.1 cubic inches.