The correct answer is option 4, which states that the rate of cooling depends on all of these factors: the temperature difference between the body and the surroundings, the nature of the radiating surface, and the area of the radiating surface.

Option 1, temperature difference between the body and the surroundings, is a key factor in determining the rate of cooling. The greater the temperature difference, the faster the cooling process will occur.

Option 2, the nature of the radiating surface, also affects the rate of cooling. Different materials have different thermal properties, such as conductivity and emissivity, which influence how quickly heat is transferred from the body to the surroundings.

Option 3, the area of the radiating surface, is also important. A larger surface area allows for more efficient heat transfer, leading to faster cooling.

Therefore, it is correct to say that the rate of cooling depends on all of these factors.