`V = f( "D" , "H" , d )`

Enter a value for all fields

The Volume of a Spherical Tank calculator computes the volume of a spherical tank and the volume substance (liquid or loose granular) in the tank based on the depth of the substance and the size of the spherical container defined by its diameter and height.  

INSTRUCTIONS: Choose units and enter the following:

• (d) Depth of Contents
• (D) Diameter of Spherical Tank
• (H) Height of Spherical Tank

Spherical Tank Volume (V): The calculator returns the volume of the contents and the total volume capacity are returned in liters.  It also returns the surface area (sA) of the contents in square meters. However, these can be automatically converted to compatible units via the pull-down menu.  

Related Calculators:

• Total Volume (full) of the spherical tank
• Weight of the Load in a Spherical Tank
• Volume of a Spherical Shell. 
• Mass or Weight of a Spherical Shell.  
• Volume Inside of the Spherical Shell
• Volume of Torispherical Head Cylindrical Tank.

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 SHAPES         Conic Cylinder           Capsule Shaped             Box Container               Spherical Tank

Volume of a Sphere

The formula for the volume of a sphere is:

• `V = 4/3 π r^3`

The formula for the volume of a sphere cap is:

• `V = 1/3πh²(3r-h)`

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.