A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is its volume? Use \(\pi \approx 3.14\).

A cylindrical tank has a radius of 3 meters and a height of 5 meters. What is its volume? Use \(\pi \approx 3.14\).

["Understanding the Volume of a Cylindrical Tank: A Practical Example", "When managing storage, irrigation, or industrial fluid systems, cylindrical tanks are widely used due to their strength and efficiency. One common question engineers and contractors face is: What is the volume of a cylindrical tank with a radius of 3 meters and a height of 5 meters?", "In this article, we’ll explore how to calculate the volume of such a cylinder and provide a clear, practical example using approximate values for (\pi).", "### The Formula for Cylinder Volume", "A cylinder’s volume (V) is calculated using the formula:", "[\nV = \pi r^2 h\n]", "where:\n- (r) is the radius of the base,\n- (h) is the height of the cylinder,\n- (\pi) (pi) is a mathematical constant approximately equal to 3.14.", "### Step-by-Step Calculation", "Given:\n- Radius (r = 3) meters\n- Height (h = 5) meters\n- Approximate (\pi = 3.14)", "Step 1: Square the radius:\n[\nr^2 = 3^2 = 9 \ ext{ m}^2\n]", "Step 2: Multiply by the height:\n[\n9 \ ext{ m}^2 \ imes 5 \ ext{ m} = 45 \ ext{ m}^3\n]", "Step 3: Multiply by (\pi):\n[\nV = 3.14 \ imes 45 = 141.3 \ ext{ m}^3\n]", "### Final Result", "The volume of the cylindrical tank is 141.3 cubic meters.", "---", "### Why This Matters in Real-World Applications", "Knowing the volume helps in planning:\n- How many liters or gallons the tank can hold\n- The rate of flow when filling or emptying\n- Structural requirements for supporting the tank", "Whether for agricultural water storage, wastewater treatment, or fuel tanks, accurate volume calculations are essential for efficiency and safety.", "---", "Summary:\nA cylindrical tank with a 3-meter radius and 5-meter height holds 141.3 cubic meters. Use the formula (V = \pi r^2 h) with (\pi \approx 3.14) for fast, reliable results in real-life engineering and design contexts."]

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