A cylindrical tank with a radius of 3 meters and height of 5 meters is filled with water. If 1 cubic meter of water weighs 1000 kg, what is the total weight of the water in the tank?
["Cylindrical Water Tank: Determining the Weight of Water Inside", "A common scenario in engineering, construction, and architecture involves calculating the weight of water stored in cylindrical tanks. Understanding this calculation helps in transporting, handling, and designing fluid storage systems effectively. Consider a cylindrical tank with a radius of 3 meters and a height of 5 meters filled completely with water. Given that water has a density of 1000 kg per cubic meter, this article explores how to compute the total weight of the water.", "### The Geometry of the Tank", "The tank is cylindrical, meaning its cross-section is a circle. To calculate the volume of water it holds, we use the formula for the volume ( V ) of a cylinder:", "[\nV = \pi r^2 h\n]", "Where:\n- ( r ) = radius of the cylinder = 3 meters\n- ( h ) = height of the cylinder = 5 meters\n- ( \pi \approx 3.1416 ) (pi value for precise results)", "Substituting the values:", "[\nV = \pi \ imes (3)^2 \ imes 5 = \pi \ imes 9 \ imes 5 = 45\pi \approx 141.37 \ ext{ cubic meters (m³)}\n]", "### Weight Calculation Based on Water Density", "Since each cubic meter of water weighs 1000 kg, the total weight ( W ) is:", "[\nW = \ ext{Volume} \ imes \ ext{Density} = 141.37 , \ ext{m}^3 \ imes 1000 , \ ext{kg/m}^3 = 141,370 , \ ext{kg}\n]", "### Practical Implications", "Knowing the total weight is essential for several reasons:\n- Structural design: Engineers must ensure the supporting structure can withstand the immense weight.\n- Transport logistics: Heavy tanks require specialized handling and transport vehicles.\n- Fluid weight distribution: In industrial applications, accurate weight informs pump sizing and energy requirements.", "### Summary", "A cylindrical tank with a radius of 3 meters and height of 5 meters holds approximately 141,370 kilograms of water when full. This calculation highlights the importance of volume and density in fluid management across many industries. Whether for water supply systems, industrial processing, or wastewater management, precise volume and weight estimation ensures safety, efficiency, and reliability.", "---", "By mastering such calculations, professionals can confidently design, operate, and maintain water storage systems in compliance with engineering standards and operational demands."]
