# Partial Volume in a Vertical Cylindrical Tank with Hemispherical Heads - Feet

Calculate the volume of a partial filled vertical cylindrical tank or container with hemispherical heads, a vertical capsule.

The vertical capsule tank is a cylinder with hemispherical heads on top and bottom. This calculator uses feet 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

### Vertical Capsule Tank - Feet

#### Calculator

- enter the diameter of the vertical capsule tank in feet and or inches
- the height of the tank in feet and or inches
- the depth of the liquid inside the tank in feet and or inches
- the weight of the liquid in pounds per US gallons

#### Results

- the volume of the tank in cubic feet
- the volume of the tank in cubic inches
- the volume of the tank in cubic metres
- the total amount of liquid the tank can hold in US gallons
- amount of liquid the tank can hold in litres
- the amount of liquid inside the tank in cubic feet
- 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 hectolitres
- 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 foot (ft³) = 1728 cubic inches (in³)
one cubic foot (ft³) = 28316846.592 cubic millimetres (mm³)
one cubic foot (ft³) = 0.028316846592 cubic metres (m³)
one cubic foot (ft³) = 7.48051948051947 gallons (gal) US
one cubic foot (ft³) = 6.22883545904283 gallons (gal) Imperial
one square foot (ft²) = 144 square inches (in²)
one square foot (ft²) = 92903.04 square millimetres (mm²)
one square foot (ft²) = 0.09290304 square metres (m²)

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

#### Filled

#### Partial Filled