Partial Volume in a Bowl Tank

Calculate the amount of liquid inside a partial filled bowl tank/container.

The bowl tank here is in the shape of a half sphere (semi-sphere) and the tank's height is equal to half the diameter.

This calculator uses centimetres for measurements.

one litre of water = 1 kilogram
one litre of diesel fuel = 0.832 kilogram
one litre of gas = 0.75 kilogram

Calculator

1. enter the diameter of the bowl tank in centimetres
2. the depth of the liquid inside the tank in centimetres
3. the weight of the liquid in kilograms per litre

Results

1. the volume of the bowl 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 = 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 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