A cylindrical tank has a radius of 3 meters and a height of 10 meters. Calculate the volume of the tank. Use \(\pi pprox 3.14159\).

["Calculating the Volume of a Cylindrical Tank: Radius, Height, and Practical Formula", "When designing or assessing large storage systems, cylindrical tanks are widely used due to their efficiency and structural strength. In this article, we explore a specific cylindrical tank with clear dimensions: a radius of 3 meters and a height of 10 meters. Understanding how to calculate its volume is essential for assessing capacity, optimizing fuel or water storage, and ensuring proper engineering specifications.", "### Key Dimensions of the Tank", "- Radius (r): 3 meters\n- Height (h): 10 meters", "The radius is the distance from the center of the circular base to its edge, while the height measures the vertical length of the cylinder.", "### The Formula for the Volume of a Cylinder", "The volume ( V ) of a cylinder is calculated using the formula:", "[\nV = \pi r^2 h\n]", "Where:\n- ( r ) is the radius\n- ( h ) is the height\n- ( \pi ) is a mathematical constant approximately equal to 3.14159", "### Calculation Step-by-Step", "1. Square the radius:\n[\nr^2 = 3^2 = 9\n]", "2. Multiply by height:\n[\nr^2 \ imes h = 9 \ imes 10 = 90\n]", "3. Multiply by ( \pi ):\n[\nV = \pi \ imes 90 \approx 3.14159 \ imes 90\n]", "4. Final multiplication:\n[\nV \approx 282.7431 , \ ext{cubic meters}\n]", "### Practical Application", "A tank with a volume of approximately 282.74 m³ can store:", "- Around 282,743 liters of liquid (1 m³ = 1,000 liters)\n- Sufficient volume for small industrial fuel tanks, large water reservoirs, or chemical storage units", "Accurate volume calculations ensure proper system sizing, compliance with regulatory standards, and efficient resource management.", "### Conclusion", "For a cylindrical tank of radius 3 meters and height 10 meters, the calculated volume is approximately 282.74 cubic meters. This formula ( V = \pi r^2 h ) is fundamental in engineering and construction, enabling precise design and reliable performance assessment for cylindrical storage systems.", "Whether for water supply, fuel transport, or industrial applications, knowing a tank’s capacity helps optimize operational planning and engineering efficiency.", "Keywords: cylindrical tank volume, cylinder volume calculation, radius height volume formula, tank capacity calculator, industrial storage tanks, engineering calculations, volume of cylinder formula, π approximation 3.14159, storage tank volume."]