Cylindrical 24211

The cylindrical container is completely filled and contains 62.8 liters of water. It is half a meter high. Calculate the bottom diameter.

Correct answer:

D =  39.7984 cm

Step-by-step explanation:

$$\begin{gathered} V=62.2\text{l}\to {\text{cm}}^3=62.2\cdot 1000{\text{cm}}^3=62200{\text{cm}}^3 \\ h=0.5\text{m}\to \text{cm}=0.5\cdot 100\text{cm}=50\text{cm} \\ V=Sh \\ S=V/h=62200/50=1244{\text{cm}}^2 \\ S=\pi r^2 \\ r=\sqrt{S/\pi }=\sqrt{1244/3.1416}\doteq 19.8992\text{cm} \\ D=2\cdot r=2\cdot 19.8992=39.7984\text{cm} \end{gathered}$$

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