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Elevated Water Tank — Height vs. Volume

Tank cross-section
Height vs. volume — y = f(x)
Volume (ft³)
0
Height (ft)
0.00
Region
Hemi
Hemisphere
Cylinder
9.5
22.25
y = √(0.0356x)
0 ≤ x ≤ 1796
y = 0.003x + 2.612
1796 < x ≤ 8104
Vhemi = ⅔π r³ = 1796 ft³
m = Hcyl/Vcyl = 0.003,  b = 2.612