# Cylinder height

Calculate the height of the cylinder and its surface is 2500 dm2 and the bases have a diameter 5dm.

Correct result:

h =  156.655 dm

#### Solution:

$S=2500 \ \text{dm}^2 \ \\ D=5 \ \text{dm} \ \\ r=D/2=5/2=\dfrac{ 5 }{ 2 }=2.5 \ \text{dm} \ \\ \ \\ S_{1}=\pi \cdot \ r^2=3.1416 \cdot \ 2.5^2 \doteq 19.635 \ \text{dm}^2 \ \\ \ \\ S_{2}=S - 2 \cdot \ S_{1}=2500 - 2 \cdot \ 19.635 \doteq 2460.7301 \ \text{dm}^2 \ \\ \ \\ o=\pi \cdot \ D=3.1416 \cdot \ 5 \doteq 15.708 \ \text{dm} \ \\ \ \\ h=S_{2}/o=2460.7301/15.708=156.655 \ \text{dm}$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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