A Chlorine Solution Is Poured Over the Surface of a Rectangular

question 42

Short Answer

A chlorine solution is poured over the surface of a rectangular swimming pool that is 20 meters long, 10 meters wide and 2 meters deep everywhere.Before the circulating pumps in the pool are turned on, it is discovered that the density of the chlorine solution at a height h meters above the bottom of the pool is given by $\rho$ (h)= 100h grams/m^3. In other words, the chlorine solution has distributed itself so that its density increases linearly from the bottom of the pool.Write a Riemann sum that approximates the total mass of chlorine solution in the pool, convert it into a definite integral, and evaluate it to find the total mass of the chlorine solution in the pool.Give your answer in kg.

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Definitions:

Factory Depreciation

The reduction in value of manufacturing equipment and facilities over time, considered an indirect manufacturing cost.

Overapplied Overhead

A situation in which the overhead allocated to products exceeds the actual overhead costs incurred.

Actual Direct Labour Hours

The real number of labor hours spent on a production process as opposed to planned or estimated hours.

Manufacturing Overhead Cost

Indirect costs related to manufacturing that are not directly tied to a specific product, such as factory maintenance and utilities.