Partial Volume in a Barrel - Feet

Barrel

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

Barrel

Top Diameter ft in
Mid Diameter ft in
Barrel Height ft in
Depth of Liquid ft in
Liquid Weight-Pounds per US Gallon lb/gal US

Results:

Tank Volume and Capacity
Cubic Feet ft³
Cubic Inches in³
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 feet and or inches
  2. the mid diameter in feet and or inches
  3. the height of the barrel in feet and or inches
  4. the depth of the liquid inside the tank in feet and or inches
  5. the weight of the liquid in pounds per US gallon

Results

  1. the volume of the barrel in cubic feet
  2. the volume of the barrel in cubic inches
  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 foot (ft³) =  28.316846592 litres (L)
one cubic foot (ft³) = 0.28316846592 hectolitres (hl)
one cubic foot (ft³) = 0.028316846592 cubic metres (m³)
one cubic foot (ft³) = 1728 cubic inches (in³)
one cubic foot (ft³) = 7.48051948051947 gallons (gal) US
one cubic foot (ft³) = 6.22883545904283 gallons (gal) Imperial

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