A cylindrical tank with a radius of 3 meters and a height of 10 meters is filled with water. The density of water is 1000 kg/m³. Calculate the total mass of the water in the tank.
["SEO Article: How to Calculate the Mass of Water in a Cylindrical Tank – Complete Guide", "When it comes to storing water in industrial, agricultural, or municipal settings, cylindrical tanks are widely used due to their efficient storage capacity and structural reliability. In this article, we explore a cylindrical tank with a radius of 3 meters and a height of 10 meters, filled completely with water. Understanding the mass of the water contained within this tank helps in planning water distribution, engineering applications, and resource management.", "---", "### Tank Dimensions\n- Radius (r): 3 meters\n- Height (h): 10 meters\n- Density of water: 1000 kg/m³ (standard for liquid water at room temperature)", "---", "### Step-by-Step Calculation: Finding the Volume of the Cylinder", "The volume ( V ) of a cylinder is calculated using the formula:\n[\nV = \pi r^2 h\n]", "Substituting the given values:\n[\nV = \pi \ imes (3, \ ext{m})^2 \ imes 10, \ ext{m} = \pi \ imes 9 \ imes 10 = 90\pi, \ ext{m}^3\n]", "Using ( \pi \approx 3.1416 ):\n[\nV \approx 90 \ imes 3.1416 = 282.74, \ ext{m}^3\n]", "---", "### Calculating the Mass of the Water Inside the Tank", "Mass can be calculated using the formula:\n[\n\ ext{Mass} = \ ext{Density} \ imes \ ext{Volume}\n]", "Using the density of water ( 1000, \ ext{kg/m}^3 ):\n[\n\ ext{Mass} = 1000, \ ext{kg/m}^3 \ imes 282.74, \ ext{m}^3 = 282,740, \ ext{kg}\n]", "To convert to metric tons (1 metric ton = 1000 kg):\n[\n282,740, \ ext{kg} = 282.74, \ ext{metric tons}\n]", "---", "### Real-World Applications\nKnowing the mass of water in a cylindrical tank is crucial for:", "- Water supply systems: Ensuring adequate supply for cities or industries\n- Agriculture: Managing irrigation water storage capacity\n- Construction and engineering: Designing tanks and supporting structures\n- Environmental monitoring: Tracking water reserves in reservoirs or emergency stockpiling", "---", "### Conclusion", "A cylindrical tank with a radius of 3 meters and a height of 10 meters holds approximately 282.74 cubic meters of water, translating to a total mass of around 282,740 kilograms or 282.74 metric tons. This essential calculation empowers better planning and efficient use of water resources in various sectors.", "For precise engineering or operational decisions, always reference up-to-date density values and use calibrated volume measurements to ensure accuracy.", "---", "Keywords: cylindrical tank water mass calculation, water tank density kg/m³, how much water in a 3m radius cylinder, 10 meter tank volume, mass of water in cubic meter, water storage calculation, tank capacity kg", "Meta Description: Calculate the mass of water in a cylindrical tank with radius 3 meters and height 10 meters using volume and density. Learn step-by-step the formula, example, and real-world applications."]
