Tanks

The fire tank is cuboid in shape, with a rectangular floor measuring 13.3 m × 14.7 m. The water depth is 1.9 m. Water was pumped from the tank into barrels with a capacity of 5 hl.

How many barrels would have been used if the water level in the tank had fallen 9 cm? Write the percentage of water pumped.

Final Answer:

n =  36
p =  4.74 %

Step-by-step explanation:

$$\begin{gathered} a=13.3\text{m} \\ b=14.7\text{m} \\ c=1.9\text{m} \\ {c}_2=9\text{cm}\to \text{m}=9:100\text{m}=0.09\text{m} \\ V=a\cdot b\cdot c=13.3\cdot 14.7\cdot 1.9=371.469{\text{m}}^3 \\ {V}_1=a\cdot b\cdot c_2=13.3\cdot 14.7\cdot 0.09=17.5959{\text{m}}^3 \\ {V}_2=5\text{hl}\to {\text{m}}^3=5:10{\text{m}}^3=0.5{\text{m}}^3 \\ {n}_1=\frac{V_1}{V_2}=\frac{17.5959}{0.5}=35.1918 \\ n=\lceil n_1\rceil =\lceil 35.1918\rceil =36 \end{gathered}$$

$p=100\cdot \frac{V_1}{V}=100\cdot \frac{17.5959}{371.469}=4.74\%$

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