Cylinder container

If the cylinder-shaped container is filled with water to a height of 5 dm, it contains 62.8 hectoliters of water. Calculate the diameter of the bottom of the container. Use the value π = 3.14.

Final Answer:

D =  40 dm

Step-by-step explanation:

$$\begin{gathered} h=5\text{dm} \\ V=62.8\text{hl}\to \text{l}=62.8\cdot 100\text{l}=6280\text{l} \\ V=S\cdot h \\ S=V/h=6280/5=1256{\text{dm}}^2 \\ S=\pi r^2 \\ r=\sqrt{S/\pi }=\sqrt{1256/3.1416}\doteq 19.9949\text{dm} \\ D=2\cdot r=2\cdot 19.9949=40\text{dm} \end{gathered}$$

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