\( \frac{\pi \times r\times h}{3} \)

Did you know that the formula \( \frac{\pi \times r \times h}{3} \) represents the volume of a cone? This geometric shape has been around since ancient times, seen in everything from ancient pyramids to modern architecture! The cone's distinct shape makes it vital in various engineering designs, such as funnels and ice cream cones, where it's not just about style but also functional volume! When calculating volume, a common mistake is using the diameter instead of the radius. Remember, the radius is half the diameter! Another tip is not to keep units consistent. For example, if you're using inches for radius, make sure your height is also in inches to avoid any mix-ups! Keep it consistent, and you'll conequer your volume calculations!