A frustum of a right circular cone is formed when a right circular cone is sliced parallel to its base, resulting in a truncated cone shape. This shape has two circular bases of different radii and a curved surface connecting them. It is widely studied in geometry for its unique structure and practical applications, such as in engineering and design.
The volume measures the amount of space inside the frustum:
\[ V = \frac{1}{3} \pi h (R^2 + r^2 + Rr) \]
where:
The lateral surface area is the area of the curved surface of the frustum:
\[ A = \pi (R + r) s \]
where:
\[s = \sqrt{h^2 + (R - r)^2}\]