A vessel containing mercury has a hole at its bottom. The diameter of the hole is `60 xx 10^(-6) m`. Find the maximum height of mercury in the vessel so that it does not flow out through the hole. Surface tension of mercury is `54 xx 10^(-2) N//m`.

Explanation

To find the maximum height of mercury in the vessel so that it does not flow out through the hole, we can use the relationship between surface tension, pressure, and height of the liquid column.

### Step-by-Step Solution:

1. **Identify the given values:**
- Diameter of the hole, \( d = 60 \times 10^{-6} \, \text{m} \)
- Surface tension of mercury, \( T = 54 \times 10^{-2} \, \text{N/m} \)
- Density of mercury, \( \rho = 13.6 \times 10^{3} \, \text{kg/m}^3 \)
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