Question 2438 Deck Safety

The correct answer is D) 2390. To calculate the free surface constant for the given tank, we need to use the formula: Free Surface Constant = (Length × Width^3) / (12 × Displacement) Given information: - Tank length: 35 ft - Tank width: 30 ft - Tank depth: 46 ft - Liquid cargo specific gravity: 0.923 - Tank is half-filled Step 1: Calculate the volume of the tank when half-filled. Volume of the tank = Length × Width × Depth / 2 Volume of the tank = 35 ft × 30 ft × 46 ft / 2 = 15,450 ft³ Step 2: Calculate the weight of the liquid cargo. Weight of the liquid cargo = Volume × Specific Gravity × Density of water Weight of the liquid cargo = 15,450 ft³ × 0.923 × 64 lb/ft³ = 907,494 lbs Step 3: Calculate the vessel's displacement. Vessel's displacement = 7,000 tons Step 4: Calculate the free surface constant using the formula. Free Surface Constant = (Length × Width^3) / (12 × Displacement) Free Surface Constant = (35 ft × 30^3 ft^3) / (12 × 7,000 tons) Free Surface Constant = 2,390 Therefore, the correct answer is D) 2390. The other options are incorrect because they do not match the calculated value of the free surface constant.