Problem C. 894.

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

(5 points)

Deadline expired.

Sorry, the solution is published in Hungarian only.

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 on problem C. 894.

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 point: 2 students.

Unfair, not evaluated: 22 solutions.

Problems in Mathematics of KöMaL, March 2007

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