Cylinder:

Cylinder: calculate the height of a 3 liter cylindrical pot with a diameter of 10 cm.

Correct answer:

h =  3.8197 dm

Step-by-step explanation:

$$\begin{gathered} D=10\text{ cm}\to \text{ dm}=10\mathrm{/}10\text{ dm}=1\text{ dm } \\ r=D\mathrm{/}2=1\mathrm{/}2={\displaystyle \frac{1}{2}}=0.5\text{ dm } \\ V=3\text{ l}\to {\text{dm}}^3=3\cdot 1{\text{dm}}^3=3{\text{dm}}^3 \\ V=\pi r^{2}h \\ h=V\mathrm{/}(\pi \cdot r^2)=3\mathrm{/}(3.1416\cdot 0.5^2)=3.8197\text{ dm} \end{gathered}$$

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