Liters od milk

The cylinder-shaped container contains 80 liters of milk. The milk level is 45 cm. How much milk will be in the container if the level rises to a height of 72 cm?

Final Answer:

V₂ =  128 l

Step-by-step explanation:

$$\begin{gathered} V_1=80\text{l} \\ {h}_1=45\text{cm} \\ {h}_2=72\text{cm} \\ V=S\cdot h \\ {V}_1=S\cdot h_1 \\ {V}_2=S\cdot h_2 \\ S=V_1:h_1=V_2:h_2 \\ {V}_1/h_1=V_2/h_2 \\ {V}_2=V_1\cdot \frac{h_2}{h_1}=80\cdot \frac{72}{45}=\frac{80\cdot 72}{45}=\frac{5760}{45}=128\text{l} \end{gathered}$$

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