when u pierce a hole in a bottle filled with water, but the cap is on, why doesnt the water spill out through the hole?

After some of the water leaks through, a partial vacauum is created above the surface of water in the bottle. Then you have more atmospheric pressure pressing on the water from below than you have on top, and the pressure difference prevents more water from coming through the hole.

When you pierce a hole in a bottle filled with water, but the cap is on, the water does not spill out through the hole because of air pressure.

To understand why this happens, let's consider the properties of air and water. Air molecules have the ability to move and exert pressure on objects. In a sealed bottle filled with water, the air inside the bottle exerts pressure on the water and keeps it in place.

When you pierce a hole in the bottle, a small opening is created for air to escape. As the air escapes through the hole, the air pressure inside the bottle decreases. However, the pressure outside the bottle remains the same.

The pressure difference between the inside and the outside of the bottle causes the water level to rise slightly in the neck of the bottle, which blocks the hole. This rising water level is driven by the difference in pressure. The pressure inside the bottle, trying to equalize with the outside pressure, forces the water up and creates a temporary seal.

As a result, the water does not spill out through the hole because it is effectively sealed by the rising water level. This phenomenon is known as the "water hammer effect" or "siphon effect."

To test this, you can try repeating the experiment with an empty bottle or a bottle with a hole already present. You'll notice that without water or without the rising water level, the water would freely flow out through the hole.

In summary, the water does not spill out through the hole due to air pressure. The rising water level effectively seals the hole, preventing any water from escaping.