Problem P. 3968. (March 2007)
P. 3968. The tap in the garden was closed at 8 o'clock in the evening, but unfortunately it was closed inappropriately. The water flowing out of it forms a downward narrowing beam as shown in the figure. The beam of water has a circular cross-section, the diameter of the circle is 6 mm at one point and 4 cm below it is only 3.4 mm. How much water was wasted if the tap is closed properly at 8 o'clock next morning. (The viscosity of the flowing water can be neglected.)
Deadline expired on April 11, 2007.
90 students sent a solution. 5 points: Almási 270 Gábor András, Almasi Susann Melinda, Antal 888 Zoltán, Antal Éva, Balogh Máté, Berta Katalin, Berzlánovich Imre, Blastik Zsófia, Blázsik Zoltán, Bogár 560 Péter, Borsai Szandra, Csató Bertalan, Danka Miklós András, Domsa Daniella, Dudás János, Egyed Lenke, Egyed Zsombor, Farkas Ádám László, Fehér András, Fekete 925 István, Hegyi Ádám, Horváth Bence, Karsa Anita, Kormos Andrea, Kovács 888 Gábor, Krämer Zsolt, Lénárt Tamás, Nigicser Bálint, Nyitrai Attila, Ölvedi Tibor, Pálovics Péter, Pálovics Róbert, Sándor Bulcsú, Sümegi Károly, Szabó 001 Áron, Szabó 895 Dávid, Szolnoki Lénárd, Szőcs 923 István, Tamási Alexandra, Tolnai Gábor, Tolner Ferenc, Tóth 113 Zsolt, Tűri Balázs, Vida György. 4 points: 23 students. 3 points: 1 student. 1 point: 6 students. 0 point: 2 students. Unfair, not evaluated: 14 solutions.