IMO Shortlist 1966 problem 21


Kvaliteta:
  Avg: 0,0
Težina:
  Avg: 0,0
Dodao/la: arhiva
2. travnja 2012.
LaTeX PDF
Prove that the volume V and the lateral area S of a right circular cone satisfy the inequality
\left( \frac{6V}{\pi}\right)^2 \leq \left( \frac{2S}{\pi \sqrt 3}\right)^3
When does equality occur?
Izvor: Međunarodna matematička olimpijada, shortlist 1966