Final answer:
To find the volume of the sphere with a 24 mm diameter, we halve the diameter to get the radius (12 mm), then use the volume formula V = (4/3) π (r)³, resulting in a volume of 2304π mm³.
Step-by-step explanation:
To calculate the volume of a sphere with a given diameter, we first need to find the radius of the sphere. The radius is half of the diameter. Since the diameter of the sphere is 24 mm, the radius will be 24 mm / 2 = 12 mm.
Next, we use the formula for the volume of a sphere:
V = (4/3) π (r)³
Substitute the radius (r) with 12 mm:
V = (4/3) π (12 mm)³
V = (4/3) π (1728 mm³)
V = 2304π mm³
Therefore, the correct answer is 2304pi mm³.