A cylindrical tank has a radius of 3 meters and a height of 10 meters. What is the volume of the tank in cubic meters? Use \(\pi \approx 3.14\).
["Understanding the Volume of a Cylindrical Tank: A Practical Guide", "When designing or evaluating storage solutions, understanding the volume of cylindrical tanks is essential. Whether for water supply, fuel, or industrial use, knowing how much a tank can hold directly impacts functionality and efficiency. In this article, we explore the volume calculation of a cylindrical tank with specific dimensions—radius of 3 meters and height of 10 meters—using the widely accepted approximation (\pi \approx 3.14).", "---", "### The Formula for a Cylinder’s Volume", "The volume (V) of a cylinder is calculated using the formula:", "[\nV = \pi r^2 h\n]", "Where:\n- (r) = radius of the base\n- (h) = height of the cylinder\n- (\pi) (pi) ≈ 3.14", "---", "### Applying the Formula to the Given Tank", "Given:\n- Radius (r = 3) meters\n- Height (h = 10) meters\n- (\pi \approx 3.14)", "Step 1: Calculate the area of the circular base:", "[\n\pi r^2 = 3.14 \ imes (3)^2 = 3.14 \ imes 9 = 28.26 \ ext{ square meters}\n]", "Step 2: Multiply by the height to find the volume:", "[\nV = 28.26 \ imes 10 = 282.6 \ ext{ cubic meters}\n]", "---", "### Final Answer", "The volume of the cylindrical tank is 282.6 cubic meters.", "---", "### Why This Matters", "Knowing the volume helps in planning for capacity needs, ensuring the tank meets required storage goals, and optimizing space usage. Whether choosing a tank for a residential, agricultural, or industrial application, this straightforward calculation provides a reliable foundation for decision-making.", "---", "### Summary", "- Radius = 3 m\n- Height = 10 m\n- Volume = ( \pi r^2 h \approx 3.14 \ imes 9 \ imes 10 = 282.6 , \ ext{m}^3 )", "Investing time in accurate volume calculations leads to better planning and efficient resource management. For cylindrical storage tanks, the formula remains a key tool—instructure, engineering, and innovation alike."]
