Spike's Calculators

# 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
```

### Barrel

Top Diameter in
Mid Diameter in
Barrel Height 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
Capacity in 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 US gal

#### Calculator

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

#### Results

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