MathDB
Problems
Contests
International Contests
IMO Shortlist
1984 IMO Shortlist
13
13
Part of
1984 IMO Shortlist
Problems
(1)
Volume of a tetrahedron
Source:
9/8/2010
Prove that the volume of a tetrahedron inscribed in a right circular cylinder of volume
1
1
1
does not exceed
2
3
π
.
\frac{2}{3 \pi}.
3
π
2
.
geometry
3D geometry
tetrahedron
Volume
geometric inequality
IMO Shortlist