The density of the atmosphere at sea level is `1.29 kg//m^(3)`. Assume that it does not change with altitude, how high should the atmosphere extend?

Explanation

To solve the problem of how high the atmosphere should extend given the density at sea level and assuming it remains constant, we can follow these steps:

### Step-by-Step Solution

1. **Identify the Given Values**:
- Density of the atmosphere at sea level, \( \rho = 1.29 \, \text{kg/m}^3 \)
- Pressure at sea level, \( P = 1.01 \times 10^5 \, \text{Pa} \)
- Acceleration due to gravity, \( g \approx 10 \, \text{m/s}^2 \)
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