Final answer:
The surface area of a sphere with a diameter of 14 cm is 196π cm², calculated using the formula A = 4 π r² where r is the radius.
Step-by-step explanation:
To find the surface area of a sphere, we use the formula: A = 4 π r², where r is the radius of the sphere. Given that the diameter of the sphere is 14 cm, we first need to calculate the radius. The radius is half of the diameter, so r = 14 cm / 2 = 7 cm. Then we substitute this value into the formula: A = 4 π (7 cm)² = 4 π (49 cm²) = 196 π cm². Therefore, the surface area of the sphere is 196π cm², which corresponds to option B.