Spike's Calculators

# 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

Tank Diameter in
Height of the Tank in
Depth of Liquid in
Liquid Weight-Pounds per US Gallon lb/gal US

#### Results:

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

#### Calculator

1. enter the diameter of the tank in inches
2. the height of the tank in inches
3. the depth of the liquid inside the tank in inches
4. the weight of the liquid in pounds per US gallon

#### Results

1. the volume of the tank in cubic inches
2. the volume of the tank in cubic feet
3. the volume of the tank in cubic metres
4. the total amount of liquid the tank can hold in US gallons
5. the amount of liquid inside the tank in US gallons
6. the amount of liquid inside the tank in Imperial gallons
7. the amount of liquid inside the tank in litres
8. the amount of liquid inside the tank in cubic feet
9. the weight of the liquid inside the tank based on lbs/gal US
10. 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)
```