Tank Schematic: Horizontal Cylinder: Dimensions of The Tank
Tank Schematic: Horizontal Cylinder: Dimensions of The Tank
Tank Schematic: Horizontal Cylinder: Dimensions of The Tank
Tank Schematic:
Horizontal Cylinder
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Estimate the total and filled volumes of tanks such as oil tanks and water tanks. Assumes inside
dimensions of the tank.
*Actual fill volumes will differ. Tank volume calculations are based on tank geometries shown belo
These tank shapes are calculated assuming exact geometric solid shapes such as cylinders, circles and
spheres. Actual water and oil tanks may not be perfect geometric shapes or might have other feature
accounted for here so, these calculations should only be considered estimates.
Methods to calculate the volume of tanks and the volume of a liquid inside a tank.
3 3
These calculations will give you cubic measures such as ft or m depending on your units of measure.
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Tank Volume Calculator Page 2 of 4
2
Area of the circular segment, the grey shaded area, is A = (1/2)r (θ - sinθ) where θ = 2*arccos(m/r).
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Therefore, V(segment) = (1/2)r (θ - sinθ)l. If the fill height f is less than 1/2 of d then we use the seg
created from the filled height and V(fill) = V(segment). However, if the fill height f is greater than 1
d then we use the segment that is created by the empty portion of the tank and subtract it from the to
volume to get the filled volume; V(fill) = V(tank) - V(segment).
Rectangle Tank
Volume of an oval tank is calculated by finding the area, A, of the end, which is the shape of a stadium
multiplying it by the length, l. A = πr2 + 2ra and it can be proven that r = h/2 and a = w - h where w
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Tank Volume Calculator Page 3 of 4
• Fill, f < r
We calculate fill volume using the circular segment
method, as in a Horizontal Cylinder Tank, for the filled
portion.
• Fill, f > r and f < (r+a)
The filled volume is exactly 1/2 of the cylinder portion plus the volume of fill inside the rectangular
portion.
• Fill, f > (r+a) and f < h
We calculate fill volume using the circular segment method, as in a Horizontal Cylinder Tank, for th
empty portion. Volume will be V(tank) - V(segment).
We treat a capsule as a sphere of diameter d split in half and separated by a cylinder of diameter d an
height a. Where r = d/2.
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V(sphere) = (4/3)πr , and
2
V(cylinder) = πr a, therefore
2
V(capsule) = πr ((4/3)r + a)
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Tank Volume Calculator Page 4 of 4
• Fill, f < r
We calculate fill volume using the spherical cap method,
for the filled portion.
• Fill, f > r and f < (r+a)
The filled volume is exactly 1/2 of the sphere portion
plus the volume of fill inside the vertical cylinder
portion.
• Fill, f > (r+a) and f < h
We calculate fill volume using the spherical cap method for the empty portion. Volume will be V(ta
V(spherical cap).
http://www.calculatorsoup.com/calculators/construction/tank.php 01-Mar-12