Partial Volume in a Vertical Semi-Cylinder - Feet

Calculate the amount of liquid in a partially filled vertical semi-cylinder tank or container. The shape of this tank is a cylinder cut in half along its length, standing up straight. This calculator uses feet 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

1. enter the diameter of the vertical semi-cylinder tank in feet and or inches
2. the height of the tank in feet and or inches
3. the depth of the liquid inside the tank in feet and or inches
4. the weight of the liquid in pounds per US gallons

Results

1. the volume of the tank in cubic feet
2. the volume of the tank in cubic inches
3. the volume of the tank in cubic metres
4. the total amount of liquid the tank can hold in US gallons
5. amount of liquid the tank can hold in litres
6. the amount of liquid inside the tank in cubic feet
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 litres
10. the amount of liquid inside the tank in hectolitres
11. the weight of the liquid inside the tank based on lbs/gal US
12. 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 foot (ft³) = 1728 cubic inches (in³)
one cubic foot (ft³) = 28316846.592 cubic millimetres (mm³)
one cubic foot (ft³) = 0.028316846592 cubic metres (m³)
one cubic foot (ft³) = 7.48051948051947 gallons (gal) US
one cubic foot (ft³) = 6.22883545904283 gallons (gal) Imperial
one square foot (ft²) = 144 square inches (in²)
one square foot (ft²) = 92903.04 square millimetres (mm²)
one square foot (ft²) = 0.09290304 square metres (m²)