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

["Cylindrical Water Tank Volume Explained: How Much Water Does a 3m Radius Cylinder Hold?", "When managing water storage, understanding the volume of cylindrical tanks is essential—especially for residential, industrial, or agricultural applications. In this article, we explore a practical example: a cylindrical water tank with a radius of 3 meters and a height of 5 meters. But more importantly, we’ll calculate just how much water this tank can hold in cubic meters using a widely trusted approximation for (\pi).", "### What Determines the Volume of a Cylindrical Tank?", "A cylinder’s volume is determined by its radius and height, based on the formula:", "[\nV = \pi r^2 h\n]", "Where:\n- (V) = volume in cubic meters\n- (r) = radius of the cylinder\n- (h) = height of the cylinder\n- (\pi) ≈ 3.14 (our chosen approximation for accurate yet simple calculations)", "### Applying the Formula to Our Tank", "Given:\n- Radius ((r)) = 3 meters\n- Height ((h)) = 5 meters\n- (\pi \approx 3.14)", "Plugging the values into the formula:", "[\nV = 3.14 \ imes (3)^2 \ imes 5\n]", "First, calculate the area of the circular base:", "[\n\pi r^2 = 3.14 \ imes 9 = 28.26 , \ ext{m}^2\n]", "Then multiply by the height:", "[\nV = 28.26 \ imes 5 = 141.3 , \ ext{m}^3\n]", "### Result: The Tank Holds Approximately 141.3 Cubic Meters of Water", "This means a cylindrical tank with a 3-meter radius and 5-meter height contains about 141.3 cubic meters of water when full. This volume is exceptionally useful for large-scale irrigation, resident water supply, or emergency reserves—making precise volume calculations vital for planning and efficiency.", "### Why This Matters", "Knowing the exact capacity helps in:\n- Designing proper plumbing and pump systems\n- Managing water distribution effectively\n- Estimating evaporation and loss rates\n- Planning maintenance and backup supplies", "Whether you're a homeowner, farmer, or facility manager, understanding how volume is calculated in cylindrical tanks ensures smarter resource management and operational success.", "---", "Summary:\n- Cylinder radius: 3 m\n- Height: 5 m\n- Volume: ( \approx 141.3 , \ ext{m}^3 )\n- Formula used: ( V = \pi r^2 h )\n- Approximation: ( \pi \approx 3.14 )", "Keep your water systems efficient—start with the math!"]