A right circular cone has a base radius of 3 cm and a height of 4 cm. Calculate its volume. Use \( \pi \approx 3.14 \).

["# Calculating the Volume of a Right Circular Cone: A Step-by-Step Guide", "Understanding the volume of a three-dimensional shape like a cone is essential in fields such as geometry, engineering, architecture, and design. A right circular cone is a classic shape characterized by a circular base and a single vertex directly above the center of the base, connected by straight slant edges.", "In this article, we’ll explore how to calculate the volume of a right circular cone using real-world measurements. We’ll use a cone with a base radius of 3 cm and a height of 4 cm, applying the formula with a commonly accepted value for ( \pi \approx 3.14 ).", "## What is the Formula for the Volume of a Cone?", "The volume ( V ) of a right circular cone is calculated using the formula:", "[\nV = \frac{1}{3} \pi r^2 h\n]", "Where:\n- ( r ) = radius of the base\n- ( h ) = height from the base center to the apex (top point)\n- ( \pi ) ≈ 3.14 (standard mathematical constant)", "## Plugging in the Values", "Given:\n- Base radius ( r = 3 ) cm\n- Height ( h = 4 ) cm\n- ( \pi \approx 3.14 )", "Substitute into the formula:", "[\nV = \frac{1}{3} \ imes 3.14 \ imes (3)^2 \ imes 4\n]", "First calculate the square of the radius:\n[\n3^2 = 9\n]", "Then multiply by height and ( \pi ):\n[\n3.14 \ imes 9 \ imes 4 = 3.14 \ imes 36 = 113.04\n]", "Now divide by 3 to find the volume:\n[\nV = \frac{113.04}{3} = 37.68\n]", "## Final Answer", "The volume of the right circular cone with a base radius of 3 cm and height of 4 cm is:", "[\n\boxed{37.68 \ ext{ cm}^3}\n]", "Understanding this calculation helps in estimating materials, designing containers, or analyzing structures involving conical shapes. Remember, precise measurements and the correct value of ( \pi ) ensure accurate results in real-world applications."]