## 174. Math Puzzle 11/79

Around the turn of the century, the daily water consumption in Berlin was 150 l per capita. Now it is between 4001 and 5001.

How high would a column of bottles with a content of 0.33 l and a height of 17 cm be if we filled a daily consumption of 450,000 m³ into such bottles and stacked them on top of each other?

Hint: 0.33 l = 1/3 l, 1 m³ has 1000 l; and be careful, don't let it tip over!
The average daily water consumption amounted to $450000 \mathrm{~m}^{3}=45 \cdot 10^{7} \mathrm{l}$.

Filled into water bottles, this would result in $45 \cdot 10^{7} \cdot 3=135 \cdot 10^{7}$, since each liter can be filled into three bottles.

If all the bottles were stacked on top of each other, they would form a length of $135 \cdot 10^{7} \cdot 17 \mathrm{~cm}=2295 \cdot 10^{7} \mathrm{~cm}$. Converting this, one gets approximately $230000 \mathrm{~km}$.