Final answer:
The surface area of a sphere with a diameter of 16 cm is calculated using the formula 4πr². With a radius of 8 cm, the surface area is 256π cm². Hence, option (C) is correct.
Step-by-step explanation:
The surface area of a sphere is calculated using the formula 4 π r², where 'r' represents the radius of the sphere. Since the sphere in question has a diameter of 16 cm, its radius would be half of that, which is 8 cm.
By plugging the radius into the formula, we calculate the surface area as follows:
Surface Area = 4 π (8 cm)² = 4 π (64 cm²) = 256π cm².
Therefore, the correct answer is C. 256π cm².