Question:** A cylindrical tank has a height of 10 meters and a radius of 3 meters. If the tank is filled with water to a height of 8 meters, what is the volume of water in the tank? Use π ≈ 3.14.

Question:** A cylindrical tank has a height of 10 meters and a radius of 3 meters. If the tank is filled with water to a height of 8 meters, what is the volume of water in the tank? Use π ≈ 3.14.

["How to Calculate the Volume of Water in a Cylindrical Tank | Step-by-Step Guide", "When it comes to measuring fluid volume in cylindrical tanks, understanding the correct formula is essential—especially in industries like water management, construction, and engineering. In this article, we’ll solve a common problem: determining the volume of water in a cylindrical tank partially filled.", "### The Problem", "We have a cylindrical tank with:\n- Height = 10 meters\n- Radius = 3 meters\n- Water fills up to a height of 8 meters", "We need to find the volume of water in this tank using the geometric formula for the volume of a cylinder.", "---", "### What is the Volume Formula for a Cylinder?", "The volume ( V ) of a cylinder is calculated using:", "[\nV = \pi r^2 h\n]", "Where:\n- ( r ) = radius\n- ( h ) = height of the cylinder (or volume of water, if partial)\n- ( \pi \approx 3.14 ) (using the commonly accepted approximation in basic calculations)", "---", "### Step 1: Plug in the Known Values", "For our scenario:\n- Radius ( r = 3 ) meters\n- Height of water ( h = 8 ) meters", "So,", "[\nV = 3.14 \ imes (3)^2 \ imes 8\n]", "---", "### Step 2: Calculate the Radius Squared", "[\n3^2 = 9\n]", "Now the equation becomes:", "[\nV = 3.14 \ imes 9 \ imes 8\n]", "---", "### Step 3: Multiply Step by Step", "First, multiply the values:", "[\n9 \ imes 8 = 72\n]", "Then:", "[\nV = 3.14 \ imes 72\n]", "Now calculate:", "[\n3.14 \ imes 72 = 226.08\n]", "---", "### Final Result", "The volume of water in the tank is 226.08 cubic meters.", "---", "### Summary", "To calculate the volume of water in a cylindrical tank:\n1. Use the formula ( V = \pi r^2 h )\n2. Substitute the given radius and water height\n3. Apply π ≈ 3.14 for accurate estimation\n4. Perform multiplication stepwise for clarity", "This method ensures precision, whether managing water storage, industrial tanks, or scientific measurements.", "---", "Key Takeaway: Even with simple geometry, applying the correct formula step-by-step leads to accurate results in real-world applications.", "---", "Keywords: cylindrical tank volume, water volume in cylinder, math calculation cylinder, how to find cylinder volume, water tank volume formula, cylindrical tank calculations, 10m high tank, 3.14 approximation"]

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