A 50 kg piston with a radius of 50 cm floats on a cylinder that is filled with air. The air in the cylinder fills the entire volume, and begins at a height of 1 m. The cylinder is then heated, so that the column rises to a height of 2 m. What is the work done by the air as it expands in the cylinder? Assume that the internal dimension of the cylinder is the same as that of the piston.
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