On a vessel of 12,500 tons displacement, compute the reduction in metacentric height due to free surface in a hold having free water on the tank top. The hold is 35 feet long and 50 feet wide. What is the reduction in metacentric height?

Correct Answer: Option D — .83 ft

Free surface effect reduces initial transverse stability by creating a virtual rise in the vessel's center of gravity. Using FSC = (l * b^3) / (12 * W), substituting 35' length, 50' breadth, and 12,500 tons displacement yields 0.83 ft reduction in GM.