To find the volume of a sphere when given its diameter, we first need to determine the radius. The radius (r) is half of the diameter, so if the diameter of the sphere is 4 centimeters, the radius is:
Radius (r) = Diameter / 2 = 4 cm / 2 = 2 cm
Next, we can use the formula for the volume (V) of a sphere, which is:
V = (4/3)πr³
Substituting the radius into the formula:
V = (4/3)π(2 cm)³
Calculating the radius cubed:
V = (4/3)π(8 cm³)
Now we multiply:
V = (32/3)π cm³
Using an approximate value of π (which is about 3.14), we can 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.