Partial Volume Hemisphere Dome Calculator - Metres

Calculate the amount of liquid inside a partial filled hemispherical dome tank or container.
The 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 metres 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

Calculation

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

Results

1. the volume of the dome tank in cubic metres
2. the volume in cubic inches
3. the volume in cubic feet
4. the total amount of liquid the tank can hold in litres
5. the tank's capacity in hectolitres
6. the tank's capacity in US gallons
7. the amount of liquid inside the tank in cubic metres
8. the amount of liquid inside the tank in cubic feet
9. the amount of liquid inside the tank in litres
10. the amount of liquid inside the tank in hectolitres
11. the amount of liquid inside the tank in US gallons
12. the amount of liquid inside the tank in Imperial Gallons
13. the weight of the liquid inside the tank based on kilograms per litre
14. the amount of liquid it will take to top up this tank in litres

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 metre (m³) = 10 hectolitres (hl)
one cubic metre (m³) = 1000 litres (L)
one cubic metre (m³) = 61023.7440947323 cubic inches (in³)
one cubic metre (m³) =  35.3146667214886 cubic feet (ft³)
one cubic metre (m³) = 264.172052358148 gallons (gal) US
one cubic metre (m³) = 219.969248299088 gallons (gal) Imperial