Ellipsoid Volume Calculator (gal, ft³)

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Calculate the volume of an ellipsoid in gallons and cubic feet from its three semi-axes.

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Ellipsoid (Oval Barrel) Water Volume Calculator (Imperial)
Ellipsoid Volume

Oval barrel, egg-shaped tank

Dimensions
ft
in
ft
in

Ellipsoid of revolution: horizontal cross-section is a circle, vertical cross-section is an ellipse. When diameter equals height it becomes a sphere.

Water Level
ft
in
1' 11 5/8"
Results
Water Volume
0 US gal
Total Capacity
0 US gal
Filled
0 %
Water Surface Diameter
0 in
Water Weight
0 lb
Remaining
0 US gal
Water Volume
0 yd³
Total Capacity
0 yd³
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How to Calculate Ellipsoid Volume in Imperial Units

Determine the volume of an ellipsoid using semi-axes in inches or feet. The formula V = (4/3)πabc gives volume in cubic feet and gallons.

Example: an egg-shaped tank with semi-axes 5 ft, 3 ft, and 2.5 ft holds about 157 ft³ (1,175 gallons). A smaller vessel 24×18×12 inches holds approximately 18.8 gallons.

Applicable to oval tanks, ellipsoidal pressure vessels, and rounded containers.

Misha Noyr, M.Eng.

Misha Noyr, M.Eng.

Civil Engineer · 15+ yrs · structural design, geotechnics. Full bio ↓