Volume of a Cone with Smaller Cone Removed

Consider a solid right circular cone that has a base radius of 4 cm and a height of 9 cm. A smaller cone, similar to the original one, is cut from the top, with a height of 3 cm. You need to calculate the volume of the remaining solid after the smaller cone is removed.

Recall that the volume $V$ of a cone can be calculated using the formula:

$V = \f\frac{1}{3} \pi r^2 h$,

where $r$ is the radius of the base and $h$ is the height of the cone.