A horizontal cylindrical drum is 2.00 m in diameter and 4.00 m long. The drum is slowly filled with benzene (density = 0.879 g/cm3). Derive a formula for W, the weight in newtons of the benzene in the tank, as a function of h, the depth of the liquid in centimeters.

Problem 2.13A horizontal cylindrical drum is 2.00 m in diameter and 4.00 m long. The drum is slowly filledwith benzene (density = 0.879 g/cm3). Derive a formula for W, the weight in newtons of thebenzene in the tank, as a function of h, the depth of the liquid in centimeters. Step-by-step solution Step 1 of 3 ^To determine the weight of benzene in the tank, first obtain the equation for area of the portionof cylinder filled with benzene.Consider the circular section of the cylindrical drum:Area of the portion of circle filled with benzene liquid is A = Area of circle - Area of sector + Area of ABC ……….(1)The relations needed to calculate area of sector, triangle ABC are r h cos 2 = r y = r (r h) ……….(2) length of AB = 2y 2 2 = 2 r (r h)Here, r is radius of circle, h is depth of liis half the angle of sector.\n