Problem C. 1293. (April 2015)
C. 1293. Alpha & Co. manufacture tennis balls and sell them in packets of four, arranged in a pyramid in a regular tetrahedral box (figure 1). Another manufacturer, APHLA, also sells tennis balls in four-packets, arranged in a column in a tall cylindrical box closed at both ends (figure 2). What is the difference between the surface areas of the two boxes if the diameter of a tennis ball is 6.50 cm?
(5 pont)
Deadline expired on May 11, 2015.
Statistics:
31 students sent a solution. 5 points: Egyházi Anna, Fehér Balázs, Fényes Balázs, Fülöp Erik, Kasó Ferenc, Mándoki Sára, Sándor Gergely, Sudár Ákos, Telek Máté László, Török Réka , Varjas István Péter, Vida Máté Gergely. 4 points: Bereczki Zoltán, Bodonhelyi Anna, Bottlik Judit, Erdei Ákos, Farkas Dóra, Juhász 333 Katalin, Kósa Szilárd, Krisztián Jonatán, Matusek Márton, Mátyus Adrienn, Mészáros 01 Viktória, Pap-Takács Mónika, Szűcs Dorina, Tóth Bence Tamás. 3 points: 1 student. 2 points: 3 students. 1 point: 1 student.
Problems in Mathematics of KöMaL, April 2015