A residential

A residential colony has a population of 5400, and 60 liters of water is required per person per day. The effective utilization of rainwater constructed a water reservoir measuring 48m × 27m × 25m to collect the rainwater. For how many days is the water in this tank sufficient? If during rain the height of water level is 5 m?

Correct answer:

d₁ =  100 d
d₂ =  20 d

Step-by-step explanation:

$$\begin{gathered} n=5400 \\ {V}_0=60\text{l}\to {\text{m}}^3=60:1000{\text{m}}^3=0.06{\text{m}}^3 \\ d=n\cdot V_0=5400\cdot 0.06=324{\text{m}}^3\text{/d} \\ a=48\text{m} \\ b=27\text{m} \\ c=25\text{m} \\ {V}_1=a\cdot b\cdot c=48\cdot 27\cdot 25=32400{\text{m}}^3 \\ {d}_1=V_1/d=32400/324=100\text{d} \end{gathered}$$

$$\begin{gathered} c_2=5\text{m} \\ {V}_2=a\cdot b\cdot c_2=48\cdot 27\cdot 5=6480{\text{m}}^3 \\ {d}_2=V_2/d=6480/324=20\text{d} \end{gathered}$$

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