A cylindrical water tank has a radius of 3 meters and a height of 10 meters. Calculate the volume of the tank in cubic meters. Use the formula for the volume of a cylinder: \( V = \pi r^2 h \).

["Optimizing Storage: Calculating the Volume of a Cylindrical Water Tank", "When planning for efficient water storage, understanding the capacity of cylindrical tanks is essential. A cylindrical water tank with a radius of 3 meters and a height of 10 meters offers reliable storage solutions for residential, agricultural, or industrial applications. But how much water can it hold?", "### Understanding Cylinder Volume: The Key Formula", "The volume ( V ) of a cylinder is determined using the well-known geometric formula:", "[\nV = \pi r^2 h\n]", "Where:\n- ( r ) is the radius of the base (in meters),\n- ( h ) is the height (or length) of the cylinder (in meters),\n- ( \pi ) (pi) is a constant approximately equal to 3.1416.", "### Plugging in the Numbers", "Given:\n- Radius ( r = 3 ) m\n- Height ( h = 10 ) m", "First, calculate the area of the circular base:", "[\n\pi r^2 = \pi \ imes (3)^2 = \pi \ imes 9 \approx 28.2743 , \ ext{m}^2\n]", "Next, multiply the base area by the height to get the volume:", "[\nV = 28.2743 , \ ext{m}^2 \ imes 10 , \ ext{m} = 282.743 , \ ext{m}^3\n]", "### Final Result", "The cylindrical water tank with a radius of 3 meters and a height of 10 meters holds approximately 282.74 cubic meters of water.", "---", "Why This Matters\nKnowing the volume ensures proper sizing for your water needs—whether for household use, farming, or emergency reserves. This tank’s capacity makes it well-suited for small to medium-scale water storage, balancing space and efficiency.", "For optimal planning, always apply this formula when selecting cylindrical tanks to match your storage requirements precisely."]