# Tank diameter

A cylindrical tank has a volume of 60 hectoliters and is 2.5 meters deep. Calculate the tank diameter.

Result

D =  1.748 m

#### Solution:

$V=60/10=6 \ \text{m}^3 \ \\ h=2.5 \ \text{m} \ \\ S=V/h=6/2.5=\dfrac{ 12 }{ 5 }=2.4 \ \text{m}^2 \ \\ S=\pi r^2 \ \\ r=\sqrt{ S/\pi }=\sqrt{ 2.4/3.1416 } \doteq 0.874 \ \text{m} \ \\ D=2 \cdot \ r=2 \cdot \ 0.874 \doteq 1.7481 \doteq 1.748 \ \text{m}$

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