# 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:

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

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