A company manufactures exercise balls. Type A is a spherical ball with a radius of 12 inches. Type B is a spherical ball with a radius of 16 inches. What is the ratio of the surface area of Type A to the surface area of Type B?

The surface area of a sphere is 4πr², so the ratio depends on the squares of the radii. For Type A and Type B, that ratio is 12²:16² = 144:256, which simplifies to 9:16. Thus, Type A’s surface area to Type B’s is 9:16.

AI-written and checked against the verified answer.