Cylindrical tank

Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder.

Result

D =  5.528 m

Solution:

V=600/10=60 m3 h=2.5 m S=V/h=60/2.5=24 m2 S=πr2 r=S/π=24/3.1416≐2.764 m D=2⋅ r=2⋅ 2.764≐5.5279=5.528  m V = 600/10 = 60 \ m^3 \ \\ h = 2.5 \ m \ \\ S = V/h = 60/2.5 = 24 \ m^2 \ \\ S = \pi r^2 \ \\ r = \sqrt{ S/\pi } = \sqrt{ 24/3.1416 } \doteq 2.764 \ m \ \\ D = 2 \cdot \ r = 2 \cdot \ 2.764 \doteq 5.5279 = 5.528 \ \text{ m }

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