Poly Tank Water Usage Calculating Volume Used And Percentage Remaining

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In this article, we will delve into a practical problem involving a poly tank containing water. Specifically, we will address the scenario where a certain volume of water is used for cleaning purposes. Our main objectives are twofold: first, to determine the exact volume of water utilized for cleaning, and second, to calculate the percentage of water that remains in the tank after this usage. This type of problem is commonly encountered in everyday situations, such as managing water resources in households, agricultural settings, or industrial operations. Understanding how to calculate these values is crucial for effective water management and conservation. Let's dive into the details and explore the step-by-step solution to this problem. This article aims to provide a clear and concise explanation, making it easy for anyone to follow along and apply the same principles to similar scenarios. We will break down the problem into manageable parts, ensuring that each step is thoroughly explained. By the end of this article, you will have a solid understanding of how to calculate water usage and remaining percentages in a tank, a valuable skill for practical applications. The concepts covered here are fundamental to many areas of mathematics and can be extended to more complex problems involving resource management and proportional reasoning. So, let's begin our journey into solving this interesting and relevant problem.

Calculating the Volume of Water Used for Cleaning

To determine the volume of water used for cleaning, we need to understand the initial conditions and the fraction of water used. The problem states that a poly tank initially contains 4,500 liters of water. This is our starting point. Furthermore, it is mentioned that 1/5 (one-fifth) of the water is used for cleaning. This fraction is crucial for our calculation. To find the actual volume of water used, we need to calculate what 1/5 of 4,500 liters is. This involves a simple multiplication. We multiply the total volume of water (4,500 liters) by the fraction representing the portion used for cleaning (1/5). Mathematically, this can be expressed as: Volume used = (1/5) * 4,500 liters. To perform this calculation, we can divide 4,500 by 5. This will give us the volume of water that was used for cleaning. The calculation is straightforward: 4,500 ÷ 5 = 900 liters. Therefore, the volume of water used for cleaning is 900 liters. This result is a key component in understanding the overall water usage scenario. Now that we know how much water was used, we can proceed to calculate the remaining volume and the percentage of water left in the tank. This step-by-step approach ensures that we accurately address each aspect of the problem, providing a clear and comprehensive solution. This method of calculating fractions of a whole is a fundamental skill in mathematics and has wide-ranging applications in various real-life scenarios.

Determining the Remaining Volume of Water

After calculating the volume of water used for cleaning, the next logical step is to determine the remaining volume of water in the tank. This is a crucial piece of information for managing water resources effectively. To find the remaining volume, we simply subtract the volume of water used from the initial volume of water in the tank. We know that the tank initially contained 4,500 liters of water, and we calculated that 900 liters were used for cleaning. Therefore, the remaining volume can be calculated as follows: Remaining volume = Initial volume - Volume used. Substituting the values we have: Remaining volume = 4,500 liters - 900 liters. Performing this subtraction, we get: Remaining volume = 3,600 liters. This means that after using 900 liters for cleaning, there are 3,600 liters of water left in the tank. This figure is important for assessing the current water level and making informed decisions about future water usage. Understanding how to calculate the remaining volume is essential for various applications, such as monitoring water levels in storage tanks, estimating water availability for different purposes, and planning water conservation strategies. The process of subtraction used here is a fundamental arithmetic operation that is widely applicable in everyday life and various fields of study. With the remaining volume now known, we can proceed to the final step of our problem: calculating the percentage of water left in the tank. This will give us a relative measure of how much water is remaining compared to the initial amount.

Calculating the Percentage of Water Remaining

Now that we know the remaining volume of water in the tank, our final step is to calculate the percentage of water remaining. This will give us a clear understanding of the proportion of water left in the tank relative to its original capacity. To calculate a percentage, we need to compare the remaining volume to the initial volume and express this comparison as a percentage. The formula for calculating the percentage of water remaining is: Percentage remaining = (Remaining volume / Initial volume) * 100%. We have already determined that the remaining volume is 3,600 liters, and the initial volume was 4,500 liters. Plugging these values into the formula, we get: Percentage remaining = (3,600 liters / 4,500 liters) * 100%. First, we divide 3,600 by 4,500: 3,600 / 4,500 = 0.8. Next, we multiply this result by 100% to express it as a percentage: 0.8 * 100% = 80%. Therefore, 80% of the water is left in the tank. This result provides a clear indication of the water level in the tank relative to its full capacity. Understanding percentages is crucial for various applications, including resource management, financial analysis, and data interpretation. In this case, knowing the percentage of water remaining allows for informed decisions about water usage and conservation efforts. The calculation involves basic arithmetic operations and the concept of proportions, which are fundamental in mathematics. This final calculation completes our analysis of the water usage scenario, providing a comprehensive understanding of the volume of water used for cleaning and the percentage of water remaining in the tank.

In conclusion, we have successfully addressed the problem of determining the volume of water used for cleaning and the percentage of water remaining in a poly tank. By following a step-by-step approach, we were able to break down the problem into manageable parts and arrive at accurate solutions. First, we calculated the volume of water used for cleaning by finding 1/5 of the initial volume of 4,500 liters, which resulted in 900 liters. Next, we determined the remaining volume of water by subtracting the used volume from the initial volume, giving us 3,600 liters. Finally, we calculated the percentage of water remaining by comparing the remaining volume to the initial volume and expressing it as a percentage, which resulted in 80%. This comprehensive analysis demonstrates the importance of understanding basic mathematical concepts such as fractions, subtraction, and percentages in solving practical problems. The skills and techniques used in this problem can be applied to a wide range of real-world scenarios, including water resource management, inventory control, and financial planning. By mastering these fundamental mathematical principles, individuals can make informed decisions and effectively manage resources. The ability to calculate volumes and percentages is a valuable asset in various fields and everyday situations. This exercise highlights the relevance of mathematics in our daily lives and encourages a deeper understanding of its practical applications. The step-by-step approach used in this article can serve as a model for tackling similar problems in the future, ensuring accuracy and clarity in the problem-solving process. Understanding water usage and remaining percentages is not only crucial for effective resource management but also promotes responsible and sustainable practices. With the knowledge gained from this article, readers can confidently approach similar problems and apply these principles in their own contexts.