Question

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

Answer 1

To derive a formula for the weight of the benzene in the tank as a function of the depth of the liquid, we can think of the drum as a series of horizontal circular disks stacked on top of each other. Each disk represents a slice of the liquid, and we can determine the weight of each slice using its volume and density.

Step-by-step explanation:

To derive a formula for the weight of the benzene in the tank as a function of the depth of the liquid, we can think of the drum as a series of horizontal circular disks stacked on top of each other. Each disk represents a slice of the liquid, and we can determine the weight of each slice using its volume and density.

The volume of each slice is the area of the circular disk multiplied by the thickness of the slice, which can be calculated using the depth of the liquid. The weight of each slice is the volume multiplied by the density of benzene. By summing up the weight of all the slices, we can derive a formula for the weight of the benzene in the tank as a function of the depth of the liquid.