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