Water reservoir

What is the weight of a metal reservoir - cylinder with a diameter of 2 m and a length 8 m, if 1 m² of sheet metal weighs 100 kg?

Correct answer:

m =  5026.5482 kg

Step-by-step explanation:

$$\begin{gathered} D=2\text{ m } \\ l=8\text{ m } \\ r=D\mathrm{/}2=2\mathrm{/}2=1\text{ m } \\ {S}_1=p\cdot r^2=p\cdot 1^2=0{\text{m}}^2 \\ {S}_2=\pi \cdot D\cdot l=3.1416\cdot 2\cdot 8\doteq 50.2655{\text{m}}^2 \\ S=2\cdot S_1+S_2=2\cdot 0+50.2655\doteq 50.2655{\text{m}}^2 \\ h=100{\text{kg/m}}^2 \\ m=h\cdot S=100\cdot 50.2655=5026.5482\text{ kg} \end{gathered}$$

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