A flotation device is in the shape of a right cylinder, with a height of 0.650 m and a face area of `4.00 m^(2)` on top and bottom, and its density is 0.300 times that of fresh water. It is initially held fully submerged in fresh water, with its top face at the water surface. Then it is allowed to ascend gradually until it begins to float. How much work does the buoyant force do on the device during the ascent?

Explanation

To solve the problem, we need to calculate the work done by the buoyant force on the flotation device as it ascends from being fully submerged to the point where it begins to float. Here’s a step-by-step breakdown of the solution:

### Step 1: Calculate the volume of the flotation device
The volume \( V \) of a cylinder is given by the formula:
\[ V = A \times h \]
where \( A \) is the face area and \( h \) is the height of the cylinder.
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