# Height of the cylinder

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

Result

h =  19.099 cm

#### Solution:

$D=100 \ \text{cm} \ \\ V=150 \ dm^3 \rightarrow cm^3=150 \cdot \ 1000 \ cm^3=150000 \ cm^3 \ \\ \ \\ r=D/2=100/2=50 \ \text{cm} \ \\ S=\pi \cdot \ r^2=3.1416 \cdot \ 50^2 \doteq 7853.9816 \ \text{cm}^2 \ \\ \ \\ V=Sh \ \\ \ \\ h=V/S=150000/7853.9816 \doteq 19.0986 \doteq 19.099 \ \text{cm}$

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