# Partial Volume in a Round Hopper Tank/Container

Calculate the amount of liquid inside a partially filled round hopper tank.

This tank's upper part consists of a cylinder with a truncated funnel (cone shape) attached to the bottom.

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

### Round Hopper Tank/Container

#### Calculator

- enter the top diameter (A) in inches
- the cylinder part height (A) in inches
- the truncated funnel height (B) in inches
- the bottom diameter (B) in inches
- the depth of liquid inside the tank in inches
- the weight of the liquid in pounds per US gallons

#### Results

- the volume of the 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

cV = 𝝅(D/2)*H
fV = 1/3𝝅H((T/2)²(B/2)²)
where cV is the volume of the cylinder
fV the volume of the truncated funnel
fV the volume of the funnel
D the diameter
H is the height
T and B the upper and lower diameters of the funnel

##### 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)

### Vertical Cylinder Tank with a Truncated Funnel (Hopper)

#### Filled

#### Partial Filled