# Partial Volume in a Vertical Cylindrical Tank with Hemispherical Heads

Calculate the amount of liquid in a partially filled vertical cylindrical tank with hemispherical heads. This type of tank has the shape of a capsule.

This calculator uses inches for measurements.

##### Approximate weight of Fuel or Water

one US gallon of water = 8.34 pounds.
one US gallon of diesel fuel = 7.1 pounds
one US gallon of gas = 6 pounds

Note: The height measurement of the tank is from top to bottom, cylinder plus the two caps

### Vertical Cylindrical Tank with Hemispherical Heads

#### Calculator

- enter the diameter of the tank in inches
- the height of the tank in inches
- the depth of the liquid inside the tank in inches
- the weight of the liquid in pounds per US gallon

#### Results

- the volume of the tank in cubic inches
- the volume of the tank in cubic feet
- the volume of the tank in cubic metres
- the total amount of liquid the tank can hold in US gallons
- the amount of liquid inside the tank in US gallons
- the amount of liquid inside the tank in Imperial gallons
- the amount of liquid inside the tank in litres
- the amount of liquid inside the tank in cubic feet
- the weight of the liquid inside the tank based on lbs/gal US
- the amount of liquid it will take to fill this tank in US gallons

##### 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 inch (in³) = 0.000578703703703704 cubic feet (ft³)
one cubic inch (in³) = 0.000016387064 cubic metres (m³)
one cubic inch (in³) = 0.00432900432900432 gallons (gal) US
one cubic inch (in³) = 0.00360465014990905 gallons (gal) Imperial
one cubic inch (in³) = 0.016387064 litres (L)

### Vertical Cylindrical Tank with Hemispherical Heads (Capsule)

#### Filled

#### Partial Filled