The correct answer is C. The mass of the liquid displaced.
Buoyancy is an upward force exerted by a fluid that opposes the weight of a partially or fully immersed object. All objects experience two forces when they are in a fluid: gravity and buoyancy. Gravity pulls the object down, while buoyancy pushes the object up. If the object is more dense than the fluid, then gravity will be stronger than buoyancy and the object will sink. If the object is less dense than the fluid, then buoyancy will be stronger than gravity and the object will float.
The amount of buoyancy that an object experiences is equal to the weight of the fluid that it displaces. This means that the more mass of fluid that an object displaces, the more buoyant it will be. For example, a ship will float because it displaces a large amount of water. A stone, on the other hand, will sink because it displaces a relatively small amount of water.
The shape of the object does not affect its buoyancy. This is because the buoyant force is exerted on all parts of the object equally. The depth to which the object is immersed also does not affect its buoyancy. This is because the buoyant force is exerted at all depths.
In conclusion, the buoyancy of an object depends on the mass of the fluid that it displaces. The shape of the object and the depth to which it is immersed do not affect its buoyancy.