The question asks for the volume of a right circular cone with height $h$ and base radius $a$. The formula to calculate the volume $V$ of a right circular cone is:

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

Explanation:

1. $a$ is the radius of the base.
2. $h$ is the perpendicular height of the cone.
3. The factor $\frac{1}{3}$ arises because a cone's volume is one-third that of a cylinder with the same base and height.

So, substituting the given height $h$ and radius $a$, the volume is:

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

Would you like me to solve this for specific values, or explain further?

Five related questions:

1. How does the volume of a cone compare to that of a cylinder?
2. What is the formula for the surface area of a cone?
3. How is the slant height of a cone calculated from its height and radius?
4. What are real-world applications of the cone volume formula?
5. Can this formula be extended to cones with elliptical bases?

Tip: Always ensure the dimensions (height and radius) are in the same units when calculating volume.