A cone has a base radius of 4 cm and a height of 9 cm. What is its volume in cubic centimeters? (Use π ≈ 3.14)
["Cone Volume Calculator: How to Find the Volume of a Cone with Radius 4 cm and Height 9 cm", "Understanding the volume of a cone is essential in geometry, architecture, engineering, and logistics. In this article, we’ll explore the formula for the volume of a cone and calculate the exact value for a cone with a base radius of 4 cm and a height of 9 cm using π ≈ 3.14. Whether you're a student, teacher, or DIY enthusiast, this guide helps simplify cone volume calculations with practical examples.", "---", "### What Is the Volume of a Cone?", "A cone is a three-dimensional shape with a circular base and a single vertex, connected by a slanted surface. The volume of a cone represents the amount of space it occupies and is calculated using the formula:", "[\n\ ext{Volume} = \frac{1}{3} \pi r^2 h\n]", "Where:\n- ( r ) = radius of the circular base (in cm)\n- ( h ) = perpendicular height from base to tip (in cm)\n- ( \pi \approx 3.14 ) (approximated for easy calculation)", "---", "### Applying the Formula to the Given Cone", "We are given:\n- Base radius ( r = 4 , \ ext{cm} )\n- Height ( h = 9 , \ ext{cm} )", "Plug these values into the volume formula:", "[\n\ ext{Volume} = \frac{1}{3} \ imes 3.14 \ imes (4)^2 \ imes 9\n]", "---", "### Step-by-Step Calculation", "1. Square the radius:\n[\n4^2 = 16\n]", "2. Multiply by the height and π:\n[\n3.14 \ imes 16 \ imes 9 = 3.14 \ imes 144 = 452.16\n]", "3. Divide by 3:\n[\n\frac{452.16}{3} = 150.72\n]", "---", "### Final Result", "The volume of the cone is 150.72 cubic centimeters (cm³).", "---", "### Why Knowing Cone Volume Matters", "Calculating cone volume helps in real-world applications such as:", "- Packaging design (e.g., cones used in ice cream or candle manufacturing)\n- Architecture (conical roofs or towers)\n- Math education (developing spatial reasoning and formula application)\n- Manufacturing (measuring internal space of conical containers)", "---", "### Conclusion", "Knowing how to compute the volume of a cone is simple when you remember the formula:\n[\nV = \frac{1}{3} \pi r^2 h\n]\nWith a base radius of 4 cm and height of 9 cm, the calculation confirms the cone’s volume is 150.72 cm³. Use this knowledge to solve problems in science, commerce, or everyday life with confidence.", "---", "Keywords: cone volume, calculate cone volume, volume of a cone formula, math calculation tutorial, cone geometry, π ≈ 3.14, cubic centimeters, 4 cm radius, 9 cm height, geometry problems, real-world measurements.", "---", "If you need more geometry guides or formula breakdowns, stay tuned — understanding 3D shapes has never been easier!"]
