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`V = f( "L" , "D" , "R" , "a" )`

Enter a value for all fields

The **Torispherical Head Tank Volume** calculator computes the volume of a cylindrical tank with torispherical heads (dish end) based on the length (L) and diameter (D) of the tank and the crown radius (R) and knuckle radius (a) of the torispherical heads.

**INSTRUCTIONS:** Choose units and enter the following:

- (
**L**) Length of Tank - (
**D**) Diameter of Tank - (
**R**) Interior Crown Radius of Torispherical Head - (
**a**) Interior Knuckle Radius of Torispherical Head

**Volume of a Cylindrical Tank with Torispherical Heads (V):** The volume is returned in cubic meters. However, the volume can be automatically converted to other volume units (e.g. liters, cubic feet, gallons, barrels) via the pull-down menu.

The relationship between the diameter of a torispherical head and the height of the head is:

`h = R - sqrt((R-a)^2 - (D/2 -a)^2)`

where:

- h = torispherical head height
- R = crown radius
- a = knuckle radius

The formula for the volume of an Torispherical Head is as follows:

`V = π/3[2⋅h⋅R²-(2a² + c² + 2aR)(R-h)+3a²c sin‾¹( (R-h)/(R-a))]`

where:

- V is the volume of the Torispherical Head
- R is the crown radius
- h is the head height.
- a is the knuckle radius

The value of c is computed from R, h and a as follows:

`c = sqrt( (R-a)² - (R-h)² )`

The Diameter (D) is simply:

D = 2(c+a)

**Capacity of a Dished End Tank**: Computes the volume of a cylindrical tank with torispherical heads based on the length and diameter of the tank and the crown radius and knuckle radius of the torispherical heads.**Torispherical Head Volume**:**CORRECTED.**Computes the volume and diameter of an torispherical head (dish-head) based on the crown radius, knuckle radius and the height.**Torispherical Head Volume and Height**: computes the volume of an torispherical head based on the crown radius, knuckle radius and the Diameter. It also computes the head height.**Volume of a Torispherical Head Cylindrical Tank**: Computes the volume of a cylindrical tank with torispherical heads (dish end) based on the length and diameter of the tank and the crown radius and knuckle radius of the torispherical heads.**Mass of the Contents of Torispherical Head Tank**: Computes the weight / mass of the contents of tank with torispherical heads based on the volume and density of the contents.

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