Mathematical and Physical Journal
for High Schools
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# Problem P. 4767. (October 2015)

P. 4767. Several small holes are drilled into the wall of a cylinder shaped container. The symmetry axis of the cylinder is vertical. The container is filled with water up to a height of $\displaystyle H$, and due to this, narrow beams of water flow out of the container (perpendicularly to the wall of the cylinder). What is the shape of the envelope of the beams of water? (The water beams do not form obstacles to each other, and the water level in the container is kept constant by refilling the water.)

(6 pont)

Deadline expired on November 10, 2015.

### Statistics:

 59 students sent a solution. 6 points: Asztalos Bogdán, Balogh Menyhért, Bekes Nándor, Bencsik Bálint, Blum Balázs, Csenger Géza, Di Giovanni András, Édes Lili, Fehér 169 Szilveszter, Fekete Balázs Attila, Forrai Botond, Ghada Alshalan, Hamza Mohammed Almalki, Iván Balázs, Jeges Viktor, Juhász 326 Dániel, Kádár 012 István, Kasza Bence, Klász Viktória, Kormányos Hanna Rebeka, Kovács Péter Tamás, Mány Bence, Marozsák Tóbiás , Nagy Kartal, Olosz Adél, Páhoki Tamás, Pszota Máté, Sal Kristóf, Szemerédi Levente, Szentivánszki Soma , Szépfalvi Bálint, Tomcsányi Gergely, Tompa Tamás Lajos, Tóth Adrián, Varga-Umbrich Eszter, Vígh Márton, Virág Barnabás, Zalavári Márton. 5 points: Bartók Imre, Büki Máté. 4 points: 3 students. 2 points: 4 students. 1 point: 4 students. 0 point: 3 students. Unfair, not evaluated: 5 solutionss.

Problems in Physics of KöMaL, October 2015