An oil

An oil drum is cut in half. One half is used as a water trough. Use the dimensions; length 82cm, width 56cm to estimate the capacity of the water trough in liters.

Correct result:

V =  101 l

Solution:

$$\begin{gathered} l=82\text{ cm}\to \text{ dm}=82\mathrm{/}10\text{ dm}=8.2\text{ dm } \\ w=56\text{ cm}\to \text{ dm}=56\mathrm{/}10\text{ dm}=5.6\text{ dm } \\ h=l\mathrm{/}2=8.2\mathrm{/}2={\displaystyle \frac{41}{10}}=4.1\text{ dm } \\ r=w\mathrm{/}2=5.6\mathrm{/}2={\displaystyle \frac{14}{5}}=2.8\text{ dm } \\ V=\pi \cdot r^2\cdot h=3.1416\cdot 2.8^2\cdot 4.1=101\text{ l} \end{gathered}$$

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