# Hectoliters

How many hectoliters of water is in garden barrel with 90 cm diameter and a height of 1.3 m, if it is filled to 80% of its capacity?

Result

V =  6.616 hl

#### Solution:

$D=90 \ cm=90 / 10 \ dm=9 \ dm \ \\ r=D/2=9/2=\dfrac{ 9 }{ 2 }=4.5 \ \text{dm} \ \\ h=1.3 \ m=1.3 \cdot \ 10 \ dm=13 \ dm \ \\ \ \\ V_{1}=\pi \cdot \ r^2 \cdot \ h=3.1416 \cdot \ 4.5^2 \cdot \ 13 \doteq 827.0243 \ \text{l} \ \\ \ \\ V=V_{1} / 100 \cdot \ 0.80=827.0243 / 100 \cdot \ 0.80 \doteq 6.6162 \doteq 6.616 \ \text{hl}$

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