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Partial Volume in a Hemisphere Dome Tank/Container

Hemisphere Dome Tank

Calculate the amount of liquid inside a partial filled hemispherical dome tank.
The dome 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 US gallon of water = 8.34 pounds.
one US gallon of diesel fuel = 7.1 pounds
one US gallon of gas = 6 pounds

Hemisphere Dome Tank

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

Results:

Tank Volume and Capacity
In Cubic Inches in³
In 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 tank's base length
  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 dome 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 = 𝝅/12(3d²f-4f³)
where V is the volume of liquid inside the tank
𝝅 = 3.14159265
d the base length
f 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)


Hemispherical Shaped Dome Tank/Container (Half Sphere)

Dome

Partial Filled

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