Hectoliters

How deep is the pool if there are 2025 hectoliters of water and the bottom dimensions are a = 15 meters b = 7,5 meters and the water level is up to 9/10 (nine-tenths) of height.

Result

h =  2 m

Solution:

$V=2025 \ hl=2025 / 10 \ m^3=202.5 \ m^3 \ \\ a=15 \ \text{m} \ \\ b=7.5 \ \text{m} \ \\ S=a \cdot \ b=15 \cdot \ 7.5=\dfrac{ 225 }{ 2 }=112.5 \ \text{m}^2 \ \\ \ \\ c=V/S=202.5/112.5=\dfrac{ 9 }{ 5 }=1.8 \ \text{m} \ \\ c=\dfrac{ 9 }{ 10 } h \ \\ \ \\ h=\dfrac{ 10 }{ 9 } \cdot \ c=\dfrac{ 10 }{ 9 } \cdot \ 1.8=2 \ \text{m}$

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