Volume increase

How many percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm?

Correct answer:

p =  50 %

Step-by-step explanation:

$$\begin{gathered} S=50\cdot 12=600 \\ {h}_1=1 \\ {h}_2=150\mathrm{/}100={\displaystyle \frac{3}{2}}=1.5 \\ {V}_1=h_1\cdot S=1\cdot 600=600 \\ {V}_2=h_2\cdot S=1.5\cdot 600=900 \\ {p}_1=(V_2-V_1)\mathrm{/}{V}_1\cdot 100=(900-600)\mathrm{/}600\cdot 100=50 \\ p=(h_2-h_1)\mathrm{/}{h}_1\cdot 100=(1.5-1)\mathrm{/}1\cdot 100=50\mathrm{\%} \end{gathered}$$

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