6

Part of 1991 Poland - Second Round

Problems(1)

R/r >= \sqrt3, sphere contains parallelepiped and it contains another sphere

Source: Polish MO Recond Round 1991 p6

The parallelepiped contains a sphere of radius

r

and is contained within a sphere of radius

R

\frac{R}{r} \geq \sqrt{3}

geometry3D geometrysphereGeometric Inequalitiesparallelepiped