Tanks

The fire tank has a cuboid shape with a rectangular floor measuring 13.7 m × 9.8 m. Water depth is 2.4 m. Water was pumped from the tank into barrels with a capacity of 2.7 hl.

How many barrels were used if the water level in the tank fallen 5 cm? Write the amount of water pumped as a percentage.

Correct result:

n =  25
p =  2.08 %

Solution:

$$\begin{gathered} V=13.7\cdot 9.8\cdot 2.4=322.224m^3 \\ {V}_1=13.7\cdot 9.8\cdot 0.05=6.713m^3 \\ {V}_2=2.7hl=0.27m^3 \\ n={\displaystyle \frac{V_1}{V_2}}\doteq 25 \end{gathered}$$

$p={\displaystyle \frac{V_1}{V}}\cdot 100={\displaystyle \frac{6.713}{322.224}}\cdot 100=2.08\mathrm{\%}$

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