# Partial Volume in a Hemisphere Dome Tank/Container

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

#### Calculator

- enter the tank's base length
- the depth of the liquid inside the tank in inches
- the weight of the liquid in pounds per US gallon

#### Results

- the volume of the dome tank in cubic inches
- the volume of the tank in cubic feet
- the volume of the tank in cubic metres
- the total amount of liquid the tank can hold in US gallons
- the amount of liquid inside the tank in US gallons
- the amount of liquid inside the tank in Imperial gallons
- the amount of liquid inside the tank in litres
- the amount of liquid inside the tank in cubic feet
- the weight of the liquid inside the tank based on lbs/gal US
- 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)

#### Filled

#### Partial Filled