Mathematical and Physical Journal
for High Schools
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Problem C. 1179. (September 2013)

C. 1179. Lily is making pudding by her grandmother's recipe. She has a 42×36-cm baking tin and glass bowls of diameter 10 cm. She places the bowls in the tin, right next to each other, then fills the tin with water and bakes the pudding. Her grandmother always made 12 bowls of pudding in this way, but Lily can make more. How?

(5 pont)

Deadline expired on October 10, 2013.


Sorry, the solution is available only in Hungarian. Google translation

Megoldás. Az ábrán látható elrendezésben 14 tál pudingot is meg lehet sütni.

Az elrendezés szélessége \(\displaystyle 4\cdot10=40<42\).

Az elrendezés magassága pedig az \(\displaystyle FE\) és az \(\displaystyle RT\) szakaszok, valamint az ábrán látható három egyenlő oldalú háromszög magasságának összege: \(\displaystyle 10+3\cdot\frac{\sqrt{3}}{2}\cdot10+10\approx35,98<36\).


Statistics:

273 students sent a solution.
5 points:174 students.
4 points:25 students.
3 points:15 students.
2 points:16 students.
1 point:28 students.
0 point:11 students.
Unfair, not evaluated:4 solutions.

Problems in Mathematics of KöMaL, September 2013