Consider a right circular cone with a base radius of 6 cm and a height of 12 cm. You are tasked with finding the volume of this cone.
The formula to calculate the volume $V$ of a cone is given by:
$$ V = \f\frac{1}{3} \pi r^2 h $$
where $r$ is the radius of the base and $h$ is the height. Using this formula, what is the volume of the cone?