Spike's Calculators

Round Hopper Tank Volume and Surface Area - Metres

Cylinder with a Truncated Funnel Tank

Calculate a cylinder tank with a funnel-shaped bottom (round hopper) volume and surface area. This tank's upper part consists of a cylinder with a truncated funnel attached to the bottom. 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

Round Hopper Tank - Metres

Tank Diameter A m
Height A m
Height B m
Tank Diameter B m
Liquid Weight-Kilograms per Litre kg/L

Results:

Tank Volume
In Cubic Metres
In Cubic Centimetres cm³
In Cubic Inches in³
In Cubic Feet ft³
Tank Capacity
In Litres L
In Hectolitres hl
In US Gallons gal US
In Imperial Gallons gal Imperial
Liquid Weight and Surface Area
Weight of Liquid kg
Surface Area in Square Metres
Surface Area in Square Centimetres cm²
Surface Area in Square Inches in²
Surface Area in Square Feet ft²

Calculator

  1. enter the top diameter (A) in metres
  2. the cylinder part height (A) in metres
  3. the truncated funnel height (B) in metres
  4. the bottom diameter (B) in metres
  5. the weight of the liquid in kilograms per litre

Results

  1. the volume of the tank in cubic metres
  2. the volume in cubic centimetres
  3. the volume in cubic inches
  4. the volume in cubic feet
  5. the capacity of the tank in litres
  6. the capacity in hectolitres
  7. the capacity in US gallons
  8. the capacity in Imperial gallons
  9. full tank liquid weight based on kilograms/L
  10. the surface area of the tank in square metres
  11. the surface area in square centimetres
  12. the surface area in square inches
  13. the surface area in square feet

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 = diameter T
H is the height
T and B, the upper and lower diameters of the funnel

Conversions
one cubic metre (m³) = 1000000 cubic centimetres (cm³)
one cubic metre (m³) = 61023.7440947323 cubic inches (in³)
one cubic metre (m³) = 35.3146667214886 cubic feet (ft³)
one cubic metre (m³) = 1000 litres (L)
one cubic metre (m³) = 10 hectolitres (hl)
one cubic metre (m³) = 264.172052358148 gallons (gal) US
one cubic metre (m³) = 219.969248299088 gallons (gal) Imperial
one square metre (m²) = 10000 square centimetres (cm²)
one square metre (m²) = 1550.0031000062 square inches (in²)
one square metre (m²) = 10.7639104167097 square feet (ft²)

Vertical Cylinder Tank with a Truncated Funnel (Hopper)

Vertical Cylindrical Tank

Partial Filled

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