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Partial Volume in a Round Hopper Tank/Container

Cylinder with a Funnel Bottom Tank

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

Top Diameter A in
Cylinder Height (A) in
Funnel Height (B) in
Bottom Diameter in
Depth of Liquid in
Liquid Weight-Pounds per US Gallon lb/gal US

Results:

Tank Volume and Capacity
Cubic Inches in³
Cubic Feet ft³
Cubic Metres
Capacity in US Gallons gal US
Amount of Liquid Inside Tank
In US Gallons gal US
In Imperial Gallons gal Imperial
In Litres L
In Cubic Feet ft³
Weight of Liquid and Fill Amount
Weight of Liquid lbs
To Fill this Tank, Add US gal

Calculator

  1. enter the top diameter (A) in inches
  2. the cylinder part height (A) in inches
  3. the truncated funnel height (B) in inches
  4. the bottom diameter (B) in inches
  5. the depth of liquid inside the tank in inches
  6. the weight of the liquid in pounds per US gallons

Results

  1. the volume of the tank in cubic inches
  2. the volume of the tank in cubic feet
  3. the volume of the tank in cubic metres
  4. the total amount of liquid the tank can hold in US gallons
  5. the amount of liquid inside the tank in US gallons
  6. the amount of liquid inside the tank in Imperial gallons
  7. the amount of liquid inside the tank in litres
  8. the amount of liquid inside the tank in cubic feet
  9. the weight of the liquid inside the tank based on lbs/gal US
  10. 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)

Vertical Cylindrical Tank

Partial Filled

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