Partial Volume in a Horizontal Semi-Cylinder Tank - Bottom Half - Centimetres

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 centimetres 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

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 centimetres, with a liquid depth of 11 centimetres, this tank is full.

Calculator

1. enter the diameter of the horizontal semi-cylinder tank in centimetres
2. the length of the tank in centimetres
3. the depth of the liquid inside the tank in centimetres
4. the weight of the liquid in kilograms per litre

Results

1. the volume of the tank in cubic centimetres
2. the volume of the tank in cubic metres
3. the volume of the tank in cubic inches
4. the volume of the tank in cubic feet
5. the total amount of liquid the tank can hold in litres
6. the amount of liquid inside the tank in litres
7. the amount of liquid inside the tank in US gallons
8. the amount of liquid inside the tank in Imperial gallons
9. the amount of liquid inside the tank in cubic metres
10. the weight of the liquid inside the tank in kilograms
11. the amount of liquid it will take to top up this tank in litres

Formula

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 centimetre (cm³) = 0.001 litres (L)
one cubic centimetre (cm³) = 0.000001 cubic metres (m³)
one cubic centimetre (cm³) = 0.0000353146667214886 cubic feet (ft³)
one cubic centimetre (cm³) = 0.0610237440947323 cubic inches (in³)
one cubic centimetre (cm³) = 0.000264172052358148 gallons (gal) US
one cubic centimetre (cm³) = 0.000219969248299088 gallons (gal) Imperial