This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
360 mm = 0.36 \text{ m}$
To determine if the cylinder can float vertically in water, we need to calculate its metacentric height (). If , it is stable and can float vertically. If , it is unstable and will not float vertically.
Given data: Total length of cylinder, Diameter of cylinder, Density of water,
The cylinder
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To determine if the cylinder can float vertically in water, we need to calculate its metacentric height (GM).
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.