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Lateral Surface Area of a Cylinder

Write a Python function `lateral_surface_area_cylinder(radius, height)` that calculates the lateral surface area of a cylinder. The lateral surface area of a cylinder is given by the formula:

\[ A = 2 \pi r h \]

Where:
- \( r \) is the radius of the cylinder's base.
- \( h \) is the height of the cylinder.

#### Example Usage:
```python [main.nopy]
print(lateral_surface_area_cylinder(10, 5))  # Expected output: 314.159
print(lateral_surface_area_cylinder(4, 5))   # Expected output: 125.664
print(lateral_surface_area_cylinder(4, 10))  # Expected output: 251.328
```

#### Constraints:
- The function should handle positive floating-point and integer values for `radius` and `height`.
- Use the value of \( \pi \) from the `math` module for precision.
import math

def lateral_surface_area_cylinder(radius, height):
    """
    Calculate the lateral surface area of a cylinder.

    Args:
        radius (float): The radius of the cylinder's base.
        height (float): The height of the cylinder.

    Returns:
        float: The lateral surface area of the cylinder.
    """
    # Placeholder for the solution
    pass
Intermediate functionsmath
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