The solar

The solar heating tank has the shape of a rotating cylinder. When the tank is in a horizontal position, the water in the tank wets 4/5 each tank bases. If we place the tank in a vertical position, the water in the tank will reach up to 1.2 m. Calculate the length of the tank.

Correct answer:

x =  1.5 m

Step-by-step explanation:

$$\begin{gathered} h_2=1.2\text{ m } \\ {V}_1={\displaystyle \frac{4}{5}}\cdot S\cdot x \\ {V}_2=S\cdot h_2=S\cdot 1.2=0 \\ {V}_1=V_2 \\ {\displaystyle \frac{4}{5}}\cdot S\cdot x=S\cdot h_2 \\ {\displaystyle \frac{4}{5}}\cdot x=h_2=1.2={\displaystyle \frac{6}{5}} \\ x=h_2\cdot {\displaystyle \frac{5}{4}}=1.2\cdot {\displaystyle \frac{5}{4}}={\displaystyle \frac{3}{2}}={\displaystyle \frac{3}{2}}\text{ m}=1.5\text{ m} \end{gathered}$$

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