Mathematical and Physical Journal
for High Schools
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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