Height of the cylinder

The cylinder volume is 150 dm cubic, the base diameter is 100 cm. What is the height of the cylinder?

Correct answer:

h =  19.0986 cm

Step-by-step explanation:

$$\begin{gathered} D=100\text{ cm } \\ V=150{\text{dm}}^3\to {\text{cm}}^3=150\cdot 1000{\text{cm}}^3=150000{\text{cm}}^3 \\ r=D\mathrm{/}2=100\mathrm{/}2=50\text{ cm } \\ S=\pi \cdot r^2=3.1416\cdot 50^2\doteq 7853.9816{\text{cm}}^2 \\ V=Sh \\ h=V\mathrm{/}S=150000\mathrm{/}7853.9816=19.0986\text{ cm} \end{gathered}$$

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