Question 3450 Deck General

The correct answer is D) 61.16 feet. To determine the new KGL (Longitudinal Metacentric Height), we need to use the formula: KGL = KB + BML - KG, where KB is the vertical distance from the keel to the center of buoyancy, BML is the transverse metacentric radius, and KG is the vertical distance from the keel to the center of gravity. Given information: - The ship is ballasted down to a draft of 32 feet. - The added ballast has an average VCG (Vertical Center of Gravity) of 9.03 feet. - The sum of free surface moments is 56,244 foot-tons. To calculate the new KGL, we need to adjust the KG value based on the added ballast. The new KG can be calculated as: (Original Weight x Original KG + Added Ballast x VCG of Ballast) / (Original Weight + Added Ballast). Substituting the given values, the new KGL is calculated as 61.16 feet, which is the correct answer. The other options are incorrect because they do not correctly account for the changes in the ship's stability due to the ballasting operation and the addition of the new ballast.