Volume of Smaller Cone Cut from Larger Cone

Consider a right circular cone with a height of 15 cm and a base radius of 6 cm. A plane cuts the cone parallel to its base, forming a smaller cone on top. The height of the smaller cone is 9 cm. Calculate the volume of the smaller cone.

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

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

The base area of a circle is given by:

$$ ext{Base Area} = heta r^2 $$

where $r$ is the radius of the base.