# Partial Volume in a Horizontal Cylinder Tank with Elliptical Heads - Metres

Calculate the amount of liquid in a partially filled horizontal cylinder tank with elliptical heads.

This calculator uses metres for measurements.

##### Approximate weight of Fuel or Water

one litre of water = 1 kilogram
one litre of diesel fuel = 0.832 kilogram
one litre of gas = 0.75 kilogram

##### Note:

Include the length of the two flanges in the cylinder length. It is assumed that cap depth h is equal to one quarter of the cylinders diameter.

### Horizontal Cylinder with Elliptical Heads

#### Calculation

- enter the diameter of the horizontal cylinder in metres
- the length of the tank in metres (includes the flanges)
- the depth of the liquid inside the tank in metres
- the weight of the liquid in kilograms per litre

#### Results

- the volume of the tank in cubic metres
- the volume in cubic inches
- the volume in cubic feet
- the total amount of liquid the tank can hold in litres
- the tank's capacity in hectolitres
- the tank's capacity in US gallons
- the amount of liquid inside the tank in cubic metres
- the amount of liquid inside the tank in cubic feet
- the amount of liquid inside the tank in litres
- the amount of liquid inside the tank in hectolitres
- the amount of liquid inside the tank in US gallons
- the amount of liquid inside the tank in Imperial Gallons
- the weight of the liquid inside the tank based on kilograms per litre
- the amount of liquid it will take to top up this tank in litres

##### Formula

V=(r²cos^{-}¹((r-d)/R)-(r-d)Square root = √Dd-d² ))L
where V is the patial volume of the cylinder
r half the tanks height
d the depth of the liquid inside the tank
D the height of the tank
L the lenght of the cylinder part thjat includes the flanges of the heads
Vc = πD³/24;
where Vc is the volume of the elliptical head
D the height of the tank

##### Conversions

one cubic metre (m³) = 10 hectolitres (hl)
one cubic metre (m³) = 1000 litres (L)
one cubic metre (m³) = 61023.7440947323 cubic inches (in³)
one cubic metre (m³) = 35.3146667214886 cubic feet (ft³)
one cubic metre (m³) = 264.172052358148 gallons (gal) US
one cubic metre (m³) = 219.969248299088 gallons (gal) Imperial

### Horizontal Cylindrical Tank with Elliptical Heads

#### Partial Filled