Even though a bowling ball weighs less than metal-hull ship in bathtub sinks but the ocean floats why?

_The buoyancy force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. In other words, an object will float if it displaces its own weight in fluid._

In case of the bathtub, even though the bowling ball weighs less than the ship, it displaces less water. This is because the bowling ball is more dense than the ship. As a result, the buoyant force acting on the bowling ball is less than the buoyant acting on the ship. Therefore, the bowling ball sinks while the ship floats.

In the ocean, the bowling ball still displaces less water than the ship. However, the ocean is much denser than water in a bathtub. This means that the buoyant force acting on the bowling ball in the ocean is greater than the buoyant force acting on it in the bathtub. As a result, the bowling ball floats in the ocean.