Sphere Tank Volume

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Equation / Last modified by KurtHeckman on 2018/06/28 15:00
KurtHeckman.Sphere Tank Volume

The Volume of a Spherical Tank calculator computes the volume of substance (liquid or loose granular) in a Sphere-Tank.pngSpherical Tank spherical container based on the depth of the substance (D) and the size of the spherical container defined by its radius (R).  

INSTRUCTIONS: Choose units and enter the following:

  • (D) The depth of the substance in the tank.  This is often done with a simple measuring stick (dip stick).
  • (R) The radius of the tank.  

Spherical Tank Volume (V): The Volume (V) is returned in cubic meters.  However, this can be automatically converted to other volume units (e.g. gallons, cubic yards) via the pull-down menu.  

Related Calculators:

The Math / Science

The spherical tank volume formula 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.CONTAINER SHAPEStankervolumeconiccylinder-illustration.png         Conic Cylindertankervolumespherocylinder-illustration.png           Capsule ShapedtankerBox.png             Box Container Sphere-Tank.png              Spherical Tank

Volume of a Sphere

The formula for the volume of a sphere is:

The formula for the volume of a sphere cap is:

This calculator let's the user compute the volume of a portion of the tank by subtracting the sphere cap volume from the volume of the total sphere.

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)
  • 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.