A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. What is the volume of the water in the tank? (Use \( \pi \approx 3.14 \))

["Understanding the Volume of Water in a Cylindrical Tank: A Complete Guide", "When it comes to storing water, cylindrical tanks are among the most common and efficient designs used in residential, industrial, and agricultural applications. Today, we explore a specific cylindrical tank with a radius of 3 meters and a height of 5 meters, completely filled with water. One crucial query for users and engineers alike is: What is the volume of water in this tank?", "### What is the Volume of a Cylinder?", "The volume of a cylinder is calculated using the formula:\n[\nV = \pi r^2 h\n]\nwhere:\n- ( V ) = volume (in cubic meters)\n- ( r ) = radius of the base\n- ( h ) = height\n- ( \pi ) ≈ 3.14 (used for approximations)", "### Given Dimensions\n- Radius (( r )) = 3 meters\n- Height (( h )) = 5 meters", "### Step-by-Step Calculation", "1. Calculate the area of the circular base:\n[\n\ ext{Base area} = \pi r^2 = 3.14 \ imes (3)^2 = 3.14 \ imes 9 = 28.26 \ ext{ square meters}\n]", "2. Multiply by height to find volume:\n[\nV = 28.26 \ imes 5 = 141.3 \ ext{ cubic meters}\n]", "### Final Result\nThe total volume of water when the cylindrical tank is full is 141.3 cubic meters.", "### Why Knowing the Volume Matters\nUnderstanding the volume is essential for:\n- Planning water supply and storage\n- Designing pumping and distribution systems\n- Estimating costs for construction and maintenance\n- Managing water usage in agriculture or industrial processes", "This simple 3D geometry principle forms the foundation for efficient water management across many fields. Whether you're a homeowner installing a rainwater tank or an engineer designing a large-scale reservoir, knowing how to calculate and apply cylinder volume ensures optimal performance and sustainability.", "Pro Tip: For quick estimates, always round intermediate values appropriately—using 3.14 for ( \pi ) provides a reliable balance between precision and practicality in most real-world applications.", "---", "Key Takeaways:\n- Cylindrical tank volume formula: ( V = \pi r^2 h )\n- With radius 3 m and height 5 m:\n [\n V = 3.14 \ imes 9 \ imes 5 = 141.3 \ ext{ m}^3\n ]\n- This cylinder holds 141.3 m³ of water when full—key data for planning and engineering.", "---", "Ready to calculate tank capacities? Use the formula above and plug in your radius and height for instant results!"]