A cylindrical water tank has a radius of 3 meters and a height of 5 meters. Calculate the volume of the tank. Use the formula for the volume of a cylinder, \( V = \pi r^2 h \).
["# Understanding the Volume of a Cylindrical Water Tank", "When designing storage solutions for water, understanding the capacity of cylindrical tanks is essential. For a water tank with a radius of 3 meters and a height of 5 meters, calculating its volume ensures efficient planning and resource management. In this article, we’ll explore the fundamentals of cylindrical volume calculation and apply the formula to determine just how much water this tank can hold.", "## What is the Volume of a Cylinder?", "A cylinder is a three-dimensional shape with two parallel circular bases and a curved surface connecting them. The volume of a cylinder represents the amount of space it occupies and is calculated using the formula:", "[\nV = \pi r^2 h\n]", "Where:\n- ( V ) = volume in cubic meters (or liters, since 1 m³ = 1,000 liters)\n- ( r ) = radius of the circular base (in meters)\n- ( h ) = height (or depth) of the cylinder (in meters)\n- ( \pi ) (pi) ≈ 3.14159", "This formula works because the volume is the area of the circular base multiplied by the height: ( \ ext{Area} = \pi r^2 ), and multiplying by height gives the total volume.", "## Calculating the Volume for a 3m Radius, 5m Height Tank", "Given:\n- Radius ( r = 3 ) meters\n- Height ( h = 5 ) meters", "We substitute these values into the volume formula:", "[\nV = \pi r^2 h = \pi (3)^2 (5)\n]", "First, compute ( r^2 ):\n[\n3^2 = 9\n]", "Next, multiply by the height:\n[\n9 \ imes 5 = 45\n]", "Now apply ( \pi ):\n[\nV = \pi \ imes 45 \approx 3.14159 \ imes 45 \approx 141.37175 , \ ext{m}^3\n]", "Rounded to three decimal places, the volume is approximately 141.372 cubic meters. Since 1 cubic meter equals 1,000 liters, this tank can hold about 141,372 liters of water—ideal for residential, agricultural, or industrial applications.", "## Practical Implications of Tank Capacity", "Knowing the tank volume enables accurate planning for water supply and usage. For instance:\n- A household with multiple cylindrical tanks can measure total storage capacity.\n- Farmers can ensure sufficient watering during dry seasons.\n- Municipal systems use these calculations to design reliable water distribution.", "By applying the standard cylindrical volume formula, stakeholders make informed decisions—bridging engineering precision with real-world needs. Whether sourcing a new tank or upgrading existing infrastructure, this calculation is foundational.", "## Conclusion", "A cylindrical water tank with a 3-meter radius and 5-meter height holds approximately 141.37 m³ of water. Using ( V = \pi r^2 h ) ensures precision in storage measurement, supporting sustainable water management across industries. Understanding this calculation empowers better infrastructure development and resource allocation.", "---\nKeywords: cylindrical water tank volume, calculate cylinder volume, water tank capacity formula, volume of cylinder example, residential water storage, agricultural water tanks"]
