Volume of Smaller Cone from Intersection

Consider a right circular cone with a base radius of 6 cm and a height of 12 cm. A plane intersects the cone parallel to its base at a height of 8 cm from the vertex of the cone. What is the volume of the smaller cone formed by this intersection?

To find the volume of a cone, you can use the formula:

$$ V =\frac{1}{3} imes ext{Base Area} imes ext{Height} $$

The base area of a circle is given by:

$$ A =\frac{1}{3} imes ext{Base Radius}^2 imes ext{Height} $$