A cylinder has a radius of 4 cm and height of 10 cm. What is its volume? (Use π ≈ 3.14)
["How to Calculate the Volume of a Cylinder: A Practical Example", "When working with geometry, understanding the volume of a cylinder is essential—especially in fields like engineering, architecture, and education. Whether you're designing a container, calculating storage space, or solving a math problem, knowing how to compute a cylinder’s volume is invaluable. In this article, we’ll explore the formula, walk through a real-world example using a cylinder with a radius of 4 cm and height of 10 cm, and clarify why this measurement matters.", "---", "### What Is the Volume of a Cylinder?", "The volume of a cylinder represents the amount of space it occupies inside three-dimensional dimensions. Unlike area, which measures surface, volume captures volume—perfect for determining how much liquid, material, or other substances a container can hold.", "The formula for the volume ( V ) of a cylinder is:", "[\nV = \pi r^2 h\n]", "Where:\n- ( r ) is the radius of the circular base\n- ( h ) is the height (or length) of the cylinder\n- ( \pi ) is a mathematical constant approximately equal to 3.14", "---", "### Step-by-Step: Calculating the Volume", "Let’s apply this formula to a practical example:\nGiven:\n- Radius ( r = 4 ) cm\n- Height ( h = 10 ) cm\n- Use ( \pi \approx 3.14 )", "Step 1: Square the radius\n( r^2 = 4^2 = 16 ) cm²", "Step 2: Multiply by π and height\n[\nV = 3.14 \ imes 16 \ imes 10\n]\nFirst calculate ( 3.14 \ imes 16 = 50.24 )\nThen multiply ( 50.24 \ imes 10 = 502.4 )", "---", "### Final Answer:\nThe volume of the cylinder is 502.4 cm³.", "---", "### Why This Formula and Value Matter", "This calculation is more than academic—it’s functional. For example, a factory designing cylindrical tanks needs to verify capacity. Knowing the volume helps ensure the tank meets storage requirements, complies with safety standards, and optimizes logistics. Using straightforward measurements like radius and height enables accurate planning without overproduction.", "---", "### Summary", "To summarize:\n- Cylinder volume = ( \pi r^2 h )\n- Radius = 4 cm, height = 10 cm\n- ( \pi \approx 3.14 )\n- Volume = 502.4 cm³", "Understanding this calculation empowers better decision-making in science, design, and everyday applications—making geometry both practical and powerful.", "---", "Keywords: cylinder volume, cylinder formula, volume of cylinder example, math tutorial, geometry calculation, π value 3.14, how to calculate cylinder volume, cylinder radius height formula, volume of a cylinder 502.4 cm³", "Meta Description: Learn how to calculate the volume of a cylinder with a radius of 4 cm and height of 10 cm. Step-by-step guide using π ≈ 3.14 gives a clear result of 502.4 cm³—perfect for math problems, engineering, or real-world applications."]
