# 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:

$l=82 \ cm \rightarrow dm=82 / 10 \ dm=8.2 \ dm \ \\ w=56 \ cm \rightarrow dm=56 / 10 \ dm=5.6 \ dm \ \\ \ \\ h=l/2=8.2/2=\dfrac{ 41 }{ 10 }=4.1 \ \text{dm} \ \\ r=w/2=5.6/2=\dfrac{ 14 }{ 5 }=2.8 \ \text{dm} \ \\ \ \\ V=\pi \cdot \ r^2 \cdot \ h=3.1416 \cdot \ 2.8^2 \cdot \ 4.1=101 \ \text{l}$

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