Cylinder 72094

The tank has the shape of a rotating cylinder with a base radius of 6 m reach. Water flows at a speed of 2 liters per second for 3 hours. To what height does the water in the tank?

Correct answer:

h =  19.1 cm

Step-by-step explanation:

$$\begin{gathered} r=6\text{m} \\ V=3\cdot 3600\cdot 2=21600\text{l} \\ {V}_1=V\to {\text{m}}^3=V:1000{\text{m}}^3=21600:1000{\text{m}}^3=21.6{\text{m}}^3 \\ {S}_1=\pi \cdot r^2=3.1416\cdot 6^2\doteq 113.0973{\text{m}}^2 \\ {V}_1=S_1\cdot h \\ {h}_1=V_1/S_1=21.6/113.0973\doteq 0.191\text{m} \\ h=h_1\to \text{cm}=h_1\cdot 100\text{cm}=0.191\cdot 100\text{cm}=19.1\text{cm}=19.1\text{cm} \end{gathered}$$

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