Torus Volume Calculator (gal, ft³)

Calculate the volume of a torus (donut shape) in gallons and cubic feet.

Toroidal Vessel Volume Calculator (Imperial)
Toroidal Vessel Volume

Torus (ring-shaped tank)

Torus Dimensions
ft
in
ft
in

Outer dia. = 4' 7", inner dia. = 2' 3 1/2", height = 1' 3 3/4".

Water Level
ft
in
7 11/16"
Results
Water Volume
0 US gal
Total Capacity
0 US gal
Filled
0 %
From Bottom
0 in
To Top
0 in
Water Weight
0 lb
Remaining
0 US gal
Water Volume
0 yd³
Total Capacity
0 yd³
Gas Mass (Liquid Phase)
lb/gal
Gas Mass
0 lb

How to Calculate Torus Volume in Imperial Units

Determine torus volume using major radius R and tube radius r in inches or feet. Formula: V = 2π²Rr².

Example: a toroidal tank with 3-foot major radius and 1-foot tube radius holds about 444 gallons. A ring with 18-inch major radius and 4-inch tube holds roughly 7.7 gallons.

Applicable to toroidal fuel tanks, inflatable rings, and ring-shaped piping systems.

Misha Noyr, M.Eng.

Misha Noyr, M.Eng.

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