Water reservoir

The reservoir shape of a cylinder having a diameter 8 m and a height 2.8 m. The device indicates that the reservoir contains 800 hectoliters of water. Calculate how much % of volume is used.

Correct answer:

p =  56.8411 %

Step-by-step explanation:

$$\begin{gathered} V_1=800\mathrm{/}10=80 \\ D=8 \\ h=2.8 \\ r=D\mathrm{/}2=8\mathrm{/}2=4 \\ {V}_2=\pi \cdot r^2\cdot h=3.1416\cdot 4^2\cdot 2.8\doteq 140.7434 \\ p=100\cdot V_1\mathrm{/}{V}_2=100\cdot 80\mathrm{/}140.7434=56.8411\mathrm{\%} \end{gathered}$$

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