VTH

The Volume of an Torispherical Head calculator computes the volume of an torispherical head based on the crown radius (R), knuckle radius (a) and the height (h).

INSTRUCTIONS:  Choose units and enter the following:

• (R)  Crown Radius
• (a)  Knuckle Radius
• (h) height of the head

Volume of an Torispherical Head (V): The volume is returned in cubic meters and the diameter is also returned in meters. However, these can be automatically converted to compatible units via the pull-down menu. Cylindrical Tank with Torispherical Heads 

Torispheric Calculators

• Capacity of a Dished End Tank
• Volume of a Torispherical Head
• Volume of a Torispherical Head Cylindrical Tank
• Mass of the Contents of Torispherical Head Tank

The Math / Science

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)

Related Calculators:

• Volume of an Ellipsoid Cap
• Mass of an Ellipsoid Cap
• Volume of a Ellipsoid
• Weight or Mass of an Ellipsoid
• Surface Area of an Ellipsoid
• Volume of a Sphere
• Volume of a Oblate Spheroid