A cylindrical tank with a radius of 4 meters and a height of 10 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 Weight Calculator: How Much Does 10-Meter-Tall Water Holding Weigh?", "When managing water storage infrastructure, understanding the weight of water contained inside cylindrical tanks is essential for structural design, safety, and logistics. In this article, we explore a practical example: a cylindrical tank with a radius of 4 meters and a height of 10 meters, filled completely with water. Knowing the weight of the stored water helps engineers, architects, and facility managers plan effectively.", "---", "### Tank Dimensions and Volume Calculation", "A cylinder’s volume is calculated using the formula:", "[\nV = \pi r^2 h\n]", "Where:\n- ( r ) = radius of the tank = 4 meters\n- ( h ) = height of the tank = 10 meters\n- ( \pi \approx 3.1416 )", "Substituting the values:", "[\nV = \pi \ imes (4\ \ ext{m})^2 \ imes 10\ \ ext{m} = \pi \ imes 16 \ imes 10 = 160\pi\ \ ext{m}^3\n]", "Approximating ( \pi \approx 3.1416 ):", "[\nV \approx 160 \ imes 3.1416 = 502.65\ \ ext{m}^3\n]", "This means the tank holds approximately 502.65 cubic meters of water.", "---", "### Water Weight: A Simple Weight Calculation", "Knowing that 1 cubic meter of water weighs 1000 kilograms (kg), we calculate the total weight:", "[\n\ ext{Total Weight} = \ ext{Volume} \ imes \ ext{Density per m}^3 = 502.65\ \ ext{m}^3 \ imes 1000\ \ ext{kg/m}^3 = 502,650\ \ ext{kg}\n]", "---", "### Final Answer", "The total weight of water in a cylindrical tank with a radius of 4 meters, height of 10 meters, and filled entirely with water is 502,650 kilograms — or 502.65 cubic meters of water weighing precisely 502.65 metric tons.", "---", "### Why This Matters", "This weight analysis is critical when designing tank foundations, supports, and transport logistics in water supply systems, agricultural irrigation, and industrial facilities. Accurately predicting the load prevents structural failures and ensures safe, efficient operations. Use this data to size pumps, reinforce base structures, and comply with safety regulations when planning water storage projects.", "---", "Keywords for SEO: cylindrical tank weight, water tank volume calculation, 4m radius tank, 10m tall tank weight, water density calculation, water weight per cubic meter, storage tank weight formula", "---", "Summary:\nA cylindrical tank with a 4-meter radius and 10-meter height holds about 502.65 cubic meters of water — weighing 502,650 kg — enabling precise planning for construction and operational safety."]
