Volume of a Smaller Cone from a Right Circular Cone

Consider a right circular cone that has a radius of $r$ cm and a height of $h$ cm. If the cone is sliced horizontally at a height of $k$ cm from the base, the smaller cone that is formed above that cut retains its shape and proportional dimensions to the original cone.

What is the volume of the smaller cone in terms of the volume of the original cone?

Use the formula for the volume of a cone, which is given by:

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