Sphere Tank Mass (contents)

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Equation / Last modified by KurtHeckman on 2019/04/05 17:13
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KurtHeckman.Sphere Tank Mass (contents)
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The Mass of a Spherical Tank Contents calculator computes the mass or weight of substance (liquid or loose granular) contained in a spherical container based on the depth (d) of the substance, the radius of the spherical container (r) and the mean density (mD) of the substance. Sphere-Tank.pngSpherical Tank  

INSTRUCTIONS: Choose units and enter the following:

  • (d)  This is the depth of the material in the spherical tank.
  • (r)  This is the radius of the interior of the spherical tank.
  • (mD)  This is the mean density of the substance in the tank.

Mass or Weight of Spherical Tank (M):  The mass of the sphere is returned in kilograms.  However this can be automatically converted to other mass and weight units via the pull-down menu. 

Mean Density of Common Substances

  • 1,000 kg/m3 - Pure Water
  • 1,022 kg/m3 - Sea water
  • 1,037 kg/m3 - Milk
  • 860 kg/m3 - Olive Oil
  • 885 kg/m3 - Diesel Fuel
  • 870 - 920 kg/m3 - Crude Oil
  • 890 kg/m3 - Fuel Oil
  • 789 kg/m3 - Ethanol
  • 737 kg/m3 - Gasoline (petrol)
  • 1,442 kg/m3 - Cement Slurry

The Math/Science


The spherical tank mass formula:

  1.  uses the size of the tank, defined by its inner radius (r), and the depth of the contained material (d), to calculate the volume of the contained substance in the spherical tank.  
  2. It then computes the mass by multiplying the volume by the mean density (mD) to provide an estimate of the mass or weight of the contents of the container.  

Other Container Calculators

For similar calculations with other shaped containers, click on the following:

  • Volume of a Conic Cylinder 
  • Load Weight of a Conic Cylinder 
  • Volume of a Capsule (Spherocylinder)
  • Load Weight of a Capsule (Spherocylinder)
  • Total or Partial Volume  of a Box (Rectangular).  For the partial volume, simply use the depth of substance in the container instead of the total depth of the container.
  • Total or Partial Load Weight of a Box (Rectangular).  For the weight of a partial load, simply use the depth of substance in the container instead of the total depth of the container.
  • Volume of a Spherical Container
  • Total or Partial Load Weight of a Spherical Container. For the total load weight, simply indicated the same value for the measure depth (D) of the substance to equal twice the radius (R) of the container.  (See diagram)
  • Volume of a Torispherical Head
  • Volume of a Torispherical Tank
  • The mean density of many substances, CLICK HERE.

The Mean Density of many substances (metals, mineral, chemicals, gases, woods, agricultural products, liquids and types of earths) can be looked up by CLICKING HERE.
Or you can see these formulas and other useful measurements all combined in one TRUCKING calculator.