2022 SSMO Accuracy Round Problems/Problem 2
Problem
Consider a cone with radius 
and height 
, and a point 
in the same plane as the base of the cone, but a distance of 
from the center of the base of the cone. We rotate the cone 
about such that the plane that the base of the cone lies on stays the same. The volume of the region that the cone sweeps out can be expressed as 
. Find 
.
