Vertical Cut of a Cone

A right circular cone with base radius $5$ and height $10$ is positioned such its circular base is centered at the origin, and its apex is at $(0,0,10)$ . It is cut by the plane $x = 2$ , and the part of the cone that has $x \gt 2$ is removed. This is illustrated in the figure above. Find the volume of the part of the cone that has been removed. If this volume is $V$ then enter $\lfloor 10^4 V \rfloor$ .