Calculate the time when the level of water becomes h<|h max|?

To calculate the time when the level of water becomes less than the maximum height (h < |h max|), we need to know the rate at which the water level is changing.

Let's assume that the water level is decreasing at a constant rate of -r units per hour.

If the initial water level is h0 and the maximum height is h max, then the equation for the water level at time t is given by:

h(t) = h0 - rt

We want to find the time when the water level becomes less than the maximum height, so we set h(t) < |h max|:

h0 - rt < |h max|

Solving for t, we get:

t > (h0 - |h max|) / r

Therefore, the time when the water level becomes less than the maximum height is t > (h0 - |h max|) / r.

The time when the level of water becomes h<|h max| can be calculated using the following equation:

$$t=\frac{1}{2} \pi \sqrt{\frac{2|h_{\text{max}}|}{g}}$$

where:

- $$t$$ is the time in seconds
- $$h_{\text{max}}$$ is the maximum height of the water in meters
- $$g$$ is the acceleration due to gravity in meters per second squared