A cylindrical tank with a radius of 3 meters and a height of 10 meters is filled with water. Calculate the volume of water in the tank. Use π ≈ 3.14.
["Cylindrical Water Tank: Calculating Volume for Efficient Water Storage", "When designing or managing water storage systems, understanding the capacity of a cylindrical tank is essential. One common configuration features a radius of 3 meters and a height of 10 meters. This article explores how to calculate the volume of water held by such a tank and explains why accurate volume computation is vital for effective water management.", "### Understanding the Cylindrical Tank Shape", "A cylinder is defined by its circular base and vertical height. In this example, the tank has:", "- Radius ( r = 3 ) meters\n- Height ( h = 10 ) meters", "The volume ( V ) of a cylinder is determined using the formula:\n[\nV = \pi r^2 h\n]", "### Step-by-Step Volume Calculation", "1. Calculate the Base Area\nThe area of a circle is given by ( \pi r^2 ):\n[\n\ ext{Base Area} = \pi \ imes (3)^2 = 3.14 \ imes 9 = 28.26 , \ ext{square meters}\n]", "2. Multiply by the Height to Get Volume\nNow multiply the base area by the height to find the total volume:\n[\nV = 28.26 \ imes 10 = 282.6 , \ ext{cubic meters}\n]", "Thus, the volume of water in the tank is 282.6 cubic meters.", "### Why Accurate Volume Matters", "Knowing the volume allows engineers, builders, and facility managers to:\n- Estimate water supply capacity\n- Design appropriate pumping and distribution systems\n- Ensure compliance with storage regulations\n- Plan for water usage during peak demand or emergencies", "With a reliable volume of 282.6 m³, water storage is measured precisely—critical for agriculture, industrial operations, and municipal water systems.", "### Conclusion", "The cylindrical tank, with dimensions 3 meters in radius and 10 meters in height, holds exactly 282.6 cubic meters of water when fully filled. This calculation ensures clear, actionable data for effective water management in real-world applications. Use ( \pi \approx 3.14 ) for practical and immediate estimates across engineering and construction projects.", "---", "Keywords: cylindrical tank volume, calculate water tank volume, cylinder volume formula, water storage capacity, water tank capacity calculation, 3m radius tank volume, 10m height tank volume, π ≈ 3.14\nMeta Description: Learn how to calculate the volume of a cylindrical water tank with radius 3m and height 10m. Step-by-step formula and calculation result with π ≈ 3.14."]
