Partial Volume in a Horizontal Cylinder Tank with Elliptical Heads - Centimetres

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

This calculator uses centimetres for measurements.

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.

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

Calculator

1. enter the diameter of the horizontal cylinder in centimetres
2. the length of the tank in centimetres (includes the flanges)
3. the depth of the liquid inside the tank in centimetres
4. the weight of the liquid in kilograms per litre

Results

1. the depth of the cap in centimetres
2. the volume of the tank in cubic centimetres
3. the volume of the tank in cubic metres
4. the volume of the tank in cubic inches
5. the volume of the tank in cubic feet
6. the total amount of liquid the tank can hold in litres
7. the amount of liquid inside the tank in litres
8. the amount of liquid inside the tank in US gallons
9. the amount of liquid inside the tank in Imperial gallons
10. the amount of liquid inside the tank in cubic metres
11. the weight of the liquid inside the tank in kilograms
12. 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 centimetre (cm³) = 0.001 litres (L)
one cubic centimetre (cm³) = 0.000001 cubic metres (m³)
one cubic centimetre (cm³) = 0.0000353146667214886 cubic feet (ft³)
one cubic centimetre (cm³) = 0.0610237440947323 cubic inches (in³)
one cubic centimetre (cm³) = 0.000264172052358148 gallons (gal) US
one cubic centimetre (cm³) = 0.000219969248299088 gallons (gal) Imperial