A cone has a radius of 3 cm and a height of 4 cm. What is its volume? (Use \( \pi \approx 3.14 \))

["Title: How to Calculate the Volume of a Cone: A Step-by-Step Guide with Example", "Understanding the volume of a cone is a fundamental concept in geometry with practical applications in engineering, architecture, and everyday problem-solving. If you’re dealing with a cone that has a radius of 3 cm and a height of 4 cm, calculating its volume is quick and simple—especially using the standard formula. In this article, we’ll explore the formula, walk through an example, and explain why knowing the volume matters.", "---", "### What is the Volume of a Cone?", "The volume ( V ) of a right circular cone is given by the formula:", "[\nV = \frac{1}{3} \pi r^2 h\n]", "Where:\n- ( r ) = radius of the base\n- ( h ) = height of the cone\n- ( \pi ) ≈ 3.14 (commonly used approximation)", "This formula calculates the space inside a cone shaped like a tapering pyramid.", "---", "### Step-by-Step Calculation: Cone with Radius 3 cm and Height 4 cm", "Let’s use the cone with:\n- Radius ( r = 3 ) cm\n- Height ( h = 4 ) cm\n- ( \pi \approx 3.14 )", "Step 1: Square the radius\n[\nr^2 = 3^2 = 9 \ ext{ cm}^2\n]", "Step 2: Multiply by height\n[\nr^2 \ imes h = 9 \ imes 4 = 36\n]", "Step 3: Multiply by ( \pi )\n[\n\pi r^2 h \approx 3.14 \ imes 36 = 113.04 \ ext{ cm}^3\n]", "Step 4: Take one-third of the result\n[\nV = \frac{1}{3} \ imes 113.04 \approx 37.68 \ ext{ cm}^3\n]", "---", "### Final Result", "The volume of a cone with a radius of 3 cm and height of 4 cm is approximately 37.68 cubic centimeters.", "---", "### Why Knowing the Volume Matters", "Calculating cone volume helps in various real-world scenarios, such as:\n- Designing conical tanks and silos\n- Calculating material needed for cone-shaped structures\n- Solving math and physics problems involving volume", "---", "### Summary", "For a cone with radius 3 cm and height 4 cm, the volume is:\n[\nV = \frac{1}{3} \pi (3)^2 (4) \approx 37.68 \ ext{ cm}^3\n]\nMastering this formula empowers you to tackle geometry challenges confidently!", "---", "Keywords: cone volume formula, volume of a cone, how to calculate cone volume, cone radius 3 cm height 4 cm, use π ≈ 3.14, geometry calculations", "---", "Optimized for search engines: Targets long-tail keywords like “volume of a cone with radius 3 cm and height 4 cm,” includes clear step-by-step breakdown, approximate value for instant usability, and practical relevance."]