Calculate the work done when a system raises a colume of water of radius `5.0mm` through `10cm`.

Explanation

To calculate the work done when a system raises a column of water of radius \(5.0 \, \text{mm}\) through \(10 \, \text{cm}\), we can follow these steps:

### Step 1: Convert Units
First, we need to convert the radius from millimeters to centimeters for consistency in units.
- Radius \( r = 5.0 \, \text{mm} = 0.5 \, \text{cm} \)
- Height \( h = 10 \, \text{cm} \)

### Step 2: Calculate the Volume of the Water Column
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