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Partial Volume in a Bowl Tank

Bowl Tank

Calculate the amount of liquid inside a partial filled bowl tank.
The bowl tank here is in the shape of a half sphere (hemisphere) and the tank's height is equal to half the diameter. This calculator uses inches for measurements.

Approximate weight of Fuel or Water
one litre of water = 1 kilogram
one litre of diesel fuel = 0.832 kilogram
one litre of gas = 0.75 kilogram

Bowl Tank

Tank Diameter 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 diameter of the bowl tank in inches
  2. the depth of the liquid inside the tank in inches
  3. the weight of the liquid in pounds per US gallon

Results

  1. the volume of the bowl 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
V = 𝝅rd²-𝝅/3d³
where V is the volume of liquid inside the tank
𝝅 = 3.14159265
r half the diameter
d the depth of the liquid inside the tank
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)

Bowl Shaped Tank/Container (Hemisphere)

Bowl

Partial Filled

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