12/19/2019 Tank Volume Calculator
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Tank Volume Calculator
Tank Volume & Fill Calculator Tank Schematic: Vertical Cylinder
with flat tank heads
Tank Type: Vertical Cylinder
enter tank inside dimensions
using integers, decimals or fractions
Height (h) = 2900 mm
Diameter (d) = 2500 mm
Filled Depth (f) = optional mm
Clear Calculate
Answer:
Tank Volumes
0% Full Total Filled Calculator Use
Capacity Volume*
Estimate the total capacity and filled volumes in
U.S. Gallons 3,760.58 0.00 gallons and liters of tanks such as oil tanks and
water tanks. Assumes inside dimensions of the
Imp. Gallons 3,131.34 0.00 tank.
Liters 14,235.34 0.00
Enter U.S. dimensions in feet (ft) or inches (in), or
Cubic Meters 14.2353 0.0000 metric dimensions in meters (m) or centimeters
(cm). Results are presented in U.S. fluid gallons,
Cubic Feet 502.7163 0.0000 Imperial (UK) gallons, cubic feet (ft³), metric liters
and cubic meters (m³).
Share this Answer Link: help *Actual fill volumes may differ. Tank volume
Paste this link in email, text or social media. calculations are based on tank geometries shown
https://www.calculatorsoup.com/calculators/constructio below. These tank shapes are calculated
n/tank.php? assuming exact geometric solid shapes such as
given_data=cyl_v&HEIGHT=2900&H_unit=millimeter& cylinders, circles and spheres. Actual water and oil
DIAMETER=2500&D_unit=millimeter&FILL=&F_unit=
tanks may not be perfect geometric shapes or
millimeter&last=cyl_v&action=solve
might have other features not accounted for here
so, these calculations should only be considered
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estimates.
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Methods to calculate the volume of
Share this Calculator & Page
tanks and the volume of a liquid inside a
tank
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12/19/2019 Tank Volume Calculator
The methods below will give you cubic measures
such as orft3 m3
depending on your units of measure. If you're calculating filled tank volume by
hand using these methods you can covert cubic feet to gallons, and cubic meters to liters using
our Volume Conversion Calculator.
Total volume of a cylinder shaped
Horizontal Cylinder Tank tank is the area, A, of the circular
end times the length, l. A = πr2
where r is the radius which is equal
to 1/2 the diameter or d/2.
Therefore:
V(tank) = πr2l
Calculate the filled volume of a
horizontal cylinder tank by first
finding the area, A, of a circular
segment and multiplying it by the
length, l.
Area of the circular segment, the
grey shaded area, is A = (1/2)r2(θ -
sinθ) where θ = 2*arccos(m/r) and θ
is in radians. Therefore,
V(segment) = (1/2)r2(θ - sinθ)l. If
the fill height f is less than 1/2 of d
then we use the segment created
from the filled height and V(fill) =
V(segment). However, if the fill
height f is greater than 1/2 of d then
we use the segment that is created
by the empty portion of the tank
and subtract it from the total volume
to get the filled volume; V(fill) =
V(tank) - V(segment).
Total volume of a cylinder shaped
Vertical Cylinder Tank tank is the area, A, of the circular
end times the height, h. A = πr2
where r is the radius which is equal
to d/2. Therefore:
V(tank) = πr2h
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12/19/2019 Tank Volume Calculator
The filled volume of a vertical
cylinder tank is just a shorter
cylinder with the same radius, r,
and diameter, d, but height is now
the fill height or f. Therefore:
V(fill) = πr2f
Total volume of a rectangular prism
Rectangle Tank shaped tank is length times width
times height. Therefore,
V(tank) = lwh
The filled volume of a rectangular
tank is just a shorter height with the
same length and width. The new
height is the fill height or f.
Therefore:
V(fill) = lwf
Volume of an oval tank is calculated
Horizontal Oval Tank by finding the area, A, of the end,
which is the shape of a stadium,
and multiplying it by the length, l. A
= πr2 + 2ra and it can be proven
that r = h/2 and a = w - h where
w>h must always be true.
Therefore:
V(tank) = (πr2 + 2ra)l
Volume of fill of a horizontal oval
tank is best calculated if we
assume it is 2 halves of a cylinder
separated by a rectangular tank.
We then calculate fill volume of 1)
a Horizontal Cylinder Tank where
l = l, f = f, and diameter d = h, and
2) a Rectangle Tank where l = l, f =
f, and rectangle width w is a = w - h
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12/19/2019 Tank Volume Calculator
of the oval tank.
V(fill) = V(fill-horizontal-cylinder)
+ V(fill-rectangle)
To calculate volume of an oval tank
Vertical Oval Tank find the area, A, of the end, which is
the shape of a stadium, and
multiply it by the length, l. A = πr2 +
2ra and it can be proven that r =
w/2 and a = h - w where h>w must
always be true. Therefore:
V(tank) = (πr2 + 2ra)l
To calculate fill volume of a vertical
oval tank it is best if we assume it is
2 halves of a cylinder separated by
a rectangular tank. With r = w/2 =
height of the semicircle ends, we
can define 3 general fill position
areas.
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 the empty portion.
Volume will be V(tank) -
V(segment).
We treat a capsule as a sphere of
Horizontal Capsule Tank diameter d split in half and
separated by a cylinder of diameter
d and height a. Where r = d/2.
V(sphere) = (4/3)πr3, and
V(cylinder) = πr2a, therefore
V(capsule) = πr2((4/3)r + a)
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12/19/2019 Tank Volume Calculator
Volume of fill for a horizontal
capsule is done by using the
circular segment method for the
Horizontal Cylinder and, with a
similar approach, using calculations
of a spherical cap for the sphere
section of the tank where,
V(spherical cap) = (1/3)πh2(3R - h)
To calculate the volume of a vertical
Vertical Capsule Tank capsule tank treat the capsule as a
sphere of diameter d split in half
and separated by a cylinder of
diameter d and height a. Where r =
d/2.
V(capsule) = πr2((4/3)r + a)
To calculate fill volume of a vertical
capsule calculate in a fashion
similar to the method used for the
Vertical Oval Tank where r = d/2 =
height of each hemisphere end.
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(tank) - V(spherical
cap).
Horizontal 2:1 Elliptical with 2:1
Horizontal 2:1 Elliptical semi elliptical tank heads
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12/19/2019 Tank Volume Calculator
Horizontal Dish Ends with dish only
Horizontal Dish Ends tank heads
Cite this content, page or calculator as:
Furey, Edward "Tank Volume Calculator"; CalculatorSoup, https://www.calculatorsoup.com -
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