A cylindrical tank has a radius of 5 meters and a height of 10 meters. Calculate the volume of the tank in cubic meters. Use the formula \( V = \pi r^2 h \).
["Title: How to Calculate the Volume of a Cylindrical Tank – Full Step-by-Step Guide", "When managing storage solutions for water, fuel, or industrial materials, cylindrical tanks commonly provide reliable and efficient capacity. Understanding how to calculate their volume is essential for planning, design, and logistics. Whether you're an engineer, construction professional, or facility manager, mastering the volume formula for a cylinder empowers accurate decision-making.", "### Understanding the Formula: Volume of a Cylinder", "The volume ( V ) of a cylinder is determined using the formula:", "[\nV = \pi r^2 h\n]", "Where:\n- ( r ) is the radius of the cylinder’s circular base\n- ( h ) is the cylinder’s height\n- ( \pi ) (pi) is a mathematical constant approximately equal to 3.14159", "### Problem: A Cylindrical Tank with Given Dimensions", "Consider a cylindrical tank characterized by:\n- Radius ( r = 5 ) meters\n- Height ( h = 10 ) meters", "### Step-by-Step Calculation", "1. Square the radius:\n ( r^2 = 5^2 = 25 ) m²", "2. Multiply by π (pi):\n ( \pi \ imes 25 \approx 3.14159 \ imes 25 = 78.53975 ) m² (this is the base area)", "3. Multiply by height:\n ( V = 78.53975 \ imes 10 = 785.3975 ) cubic meters", "### Final Volume Result", "The volume of the cylindrical tank is approximately:", "[\nV \approx 785.4 \ ext{ cubic meters}\n]", "### Practical Applications", "Knowing the volume allows users to:\n- Estimate storage capacity for liquids such as water, chemicals, or fuel\n- Plan transportation and handling equipment requirements\n- Ensure compliance with safety and spatial regulations", "### Conclusion", "Calculating the volume of a cylinder is straightforward with the formula ( V = \pi r^2 h ). For a tank with a 5-meter radius and 10-meter height, the capacity is about 785.4 cubic meters — a critical number for effective and safe operations in storage and distribution systems.", "---", "Whether you are designing new infrastructure or managing existing assets, precise volume calculations ensure optimal performance and resource planning. Always verify your measurements and constants to maintain accuracy in technical applications."]
