The cylindrical container

The container has a cylindrical shape. The base diameter 0.8 meters has an area of the base equal to the shell's area. How many full liters of water can be poured maximally into the container?

Final Answer:

V =  100 l

Step-by-step explanation:

$$\begin{gathered} D=0.8\text{m}\to \text{dm}=0.8\cdot 10\text{dm}=8\text{dm} \\ r=D/2=8/2=4\text{dm} \\ {S}_1=S_2 \\ \pi r^2=2\pi rh \\ r=2h \\ h=r/2=4/2=2\text{dm} \\ V=\lfloor \pi \cdot r^2\cdot h\rfloor =\lfloor 3.1416\cdot 4^2\cdot 2\rfloor =100\text{l} \end{gathered}$$

Try another example