Capacity of a Dished End Tank

The Capacity of a Dished End (Torispherical) Tank calculator computes the volume of a cylindrical tank with torispherical heads based on the length (L) and diameter (D) of the tank and the crown radius (R) and knuckle radius (a) of the torispherical heads.

NOTE: Default units have been updated to millimeters for inputs and cubic centimeters for outputs.  Both can be changed.

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 centi-meters rounded to the nearest 1/10000^th. However, the volume can be automatically converted to other volume units (e.g. liters, cubic feet, gallons, barrels) via the pull-down menu.

The Math / Science

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

Torispheric-head or Dished End Calculators

• 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: 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.