Spike's Calculators

# Partial Volume in a Vertical Cylinder Tank with Hemispherical Heads

Calculate the volume of a partial filled vertical cylinder tank with hemispherical heads (capsule).

The vertical capsule tank is a cylinder with hemispherical heads on top and bottom.

This calculator uses centimetres 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
```

### Vertical Capsule Tank

Tank Diameter cm
Height of the Tank cm
Depth of Liquid cm
Liquid Weight-Kilograms per Litre kg/L

#### Results:

###### Tank Volume and Capacity
In Cubic Centimetres cm³
In Cubic Metres
In Cubic Inches in³
In Cubic Feet ft³
Capacity in Litres L
###### Amount of Liquid Inside Tank
In Litres L
In US Gallons gal US
In Imperial Gallons gal Imperial
In Cubic Metres
###### Weight of Liquid and Fill Amount
Weight of Liquid kg
To Fill this Tank, Add Litres

#### Calculator

1. enter the diameter of the vertical capsule tank in centimetres
2. the height of the tank in centimetres
3. the depth of the liquid inside the tank in centimetres
4. the weight of the liquid in kilograms per litre

#### Results

1. the volume of the vertical capsule tank in cubic centimetres
2. the volume of the tank in cubic metres
3. the volume of the tank in cubic inches
4. the volume of the tank in cubic feet
5. the total amount of liquid the tank can hold in litres
6. the amount of liquid inside the tank in litres
7. the amount of liquid inside the tank in US gallons
8. the amount of liquid inside the tank in Imperial gallons
9. the amount of liquid inside the tank in cubic metres
10. the weight of the liquid inside the tank in kilograms
11. the amount of liquid it will take to top up this tank in litres

##### Formula
```Vt = π/12(3D²d-4d³)
Vc = π(D/2)²d
Vb = π/6(3Dd²-2d³)
where Vt is the partial volume in the upper head
Vc partial volume of the cylinder
Vb the partial volume in the lower head
D tank diameter
d the fill height of the liquid
```
##### 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
```