The volume of a sphere can be calculated using the formula: V = (4/3)πr³, where r is the radius of the sphere.
Since the diameter of the sphere is 4 centimeters, we first need to find the radius. The radius is half of the diameter, so:
r = diameter / 2 = 4 cm / 2 = 2 cm
Now, we can substitute the radius into the volume formula:
V = (4/3)π(2 cm)³
This simplifies to:
V = (4/3)π(8 cm³) = (32/3)π cm³
If we use the approximate value of π (3.14), we can further calculate the volume:
V ≈ (32/3) × 3.14 ≈ 33.51 cm³
Therefore, the volume of the sphere with a diameter of 4 centimeters is approximately 33.51 cubic centimeters.