# Partial Volume in a Barrel

Calculate the amount of liquid in a partially filled standing barrel.

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

#### Calculator

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

#### Results

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

##### Formula

V = 𝝅((4(T-M)²/5H ⁴)(H/2)⁵-((H/2-d)⁵)(2M(T-Mi))/(3*H²)((H/2)³)-(H/2-d)³)+(ld(M/2)²)
where V is the volume of liquid in the barrel
𝝅 = 3.14159265
T the top diameter
M the mid diameter
H the height of the barrel
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)

## Barrel

#### Filled

#### Partial Filled