Problem C. 894. (March 2007)

C. 894. A hemispherical soup bowl has a volume of 8 litres. How much soup will fill the bowl to half its height?

(5 pont)

Deadline expired on April 16, 2007.

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

Megoldás.

$8~{\rm l}=8~{\rm dm}^3=2/3\,{\rm r}^3\pi,$

ahonnan r³=12/ $\pi$ dm³.

A gömbszelet térfogata:

V= $\pi$ /3^.(r/2)²(3r-r/2)= $\pi$ /3(3 r³/4-r³/8)=2,5 dm³=2,5 l.

Statistics:

315 students sent a solution.

5 points: 208 students.

4 points: 55 students.

3 points: 18 students.

2 points: 9 students.

1 point: 1 student.

0 points: 2 students.

irregular: 22 scripts.

Problems in Mathematics of KöMaL, March 2007

315 students sent a solution.
5 points:	208 students.
4 points:	55 students.
3 points:	18 students.
2 points:	9 students.
1 point:	1 student.
0 points:	2 students.
irregular:	22 scripts.

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