Volume of a Frustum from Cone Section

Consider a right circular cone with a height of 12 cm and a base radius of 5 cm. A slice is made parallel to the base, resulting in a smaller cone at the top, having a height of 4 cm. Determine the volume of the remaining frustum.

Recall the formulas for the volume of a cone: $$V = \f\frac{1}{3} \pi r^2 h$$ where $r$ is the radius and $h$ is the height. The volume of the frustum can be found by subtracting the volume of the smaller cone from the volume of the larger cone.