A cylindrical tank has a height of 10 m and a base radius of 3 m. What is the volume of the tank (use π = 3.14)?
["Cylindrical Tank Volume Calculation: How to Compute Volume Using Height and Radius (Using π = 3.14)", "When designing storage solutions for liquids, tanks play a vital role in industries ranging from water supply to chemical processing. One common type is the cylindrical tank, known for its efficiency in both space usage and durability. If you’re working with a cylindrical tank that has a height of 10 meters and a base radius of 3 meters, calculating its volume is straightforward—and essential for planning capacity, material needs, and operational logistics.", "### What Is the Volume of a Cylinder?", "The volume of a cylinder is the amount of space it occupies, calculated using the formula:", "[\n\ ext{Volume} = \pi r^2 h\n]", "Where:\n- ( r ) = radius of the base\n- ( h ) = height of the cylinder\n- ( \pi ) is a mathematical constant approximated as 3.14 for practical use", "---", "### Step-by-Step Calculation for a 10m × 3m Cylindrical Tank", "Given:\n- Height (( h )) = 10 meters\n- Base radius (( r )) = 3 meters\n- ( \pi = 3.14 )", "1. Calculate the base area\n[\n\ ext{Base Area} = \pi r^2 = 3.14 \ imes (3)^2 = 3.14 \ imes 9 = 28.26 , \ ext{m}^2\n]", "2. Multiply by height to get the volume\n[\n\ ext{Volume} = \ ext{Base Area} \ imes h = 28.26 , \ ext{m}^2 \ imes 10 , \ ext{m} = 282.6 , \ ext{m}^3\n]", "---", "### Final Result", "The volume of the cylindrical tank is 282.6 cubic meters.", "---", "### Why This Volume Matters", "Knowing the exact volume helps professionals in engineering, construction, and project management estimate how much water, oil, or other substances the tank can safely hold. It influences pump sizing, flow rate calculations, and compliance with storage regulations.", "---", "### Summary", "- Cylinder volume formula: ( V = \pi r^2 h )\n- With ( r = 3, \ ext{m} ), ( h = 10, \ ext{m} ), ( \pi = 3.14 )\n- Volume = 282.6 m³", "This simple yet precise calculation forms the foundation for effective tank design and operational planning. Whether for municipal water systems or industrial chemical storage, accurate volume data ensures efficiency and safety."]
