# Partial Volume in a Horizontal Semi-Cylinder Tank

Calculate the amount of liquid in a partially filled horizontal semi-cylinder tank/container.
The horizontal semi-cylinder tank represents the bottom part of a cylinder split in half along its 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

##### Note:

In this type of tank, the maximum depth of the liquid inside the tank is half the diameter measurement. For instance, if the diameter of the tank is 22 inches, with a liquid depth of 11 inches, this tank is full.

### Horizontal Semi-Cylinder Tank

#### Calculator

- enter the diameter of the horizontal semi-cylinder tank in inches
- the height of the tank in inches
- 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 horizontal semi-cylinder 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

*It is the same formula for a full cylinder with the maximum height set as the radius.*
V=0.5r²(Y-sin(Y))L+d(W-H)
where V is the volume
r the tank's height
Y=2cos^{-}¹(r-d)/d
d the depth of the liquid inside the tank
W the width of the tank
H the tanks height

##### 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)

### Horizontal Semi Cylinder Tank (Bottom Half)

#### Filled

#### Partial Filled