Enter the base radius and cap height of a spherical (domed) end cap into the calculator to determine the end cap volume.
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End Cap Volume Formula
The following formula is used to calculate the volume of a domed end cap modeled as a spherical cap, given the base radius and the cap height.
V = \frac{\pi H (3R^2 + H^2)}{6}Variables:
- V is the end cap volume
- π is the constant Pi (approximately 3.14159)
- R is the base radius of the end cap
- H is the cap height (measured from the base plane to the top of the dome)
To calculate the end cap volume, multiply Pi by the cap height and by (3R² + H²), then divide the result by 6.
What is an End Cap?
An end cap is a component used to close off the end of a cylindrical object, such as a pipe or tube. End caps come in multiple geometries (for example, flat, hemispherical, ellipsoidal, and other domed profiles) and are typically made from materials like metal, plastic, or rubber. This page’s volume formula and calculator specifically model a domed end cap as a spherical cap (a “dome”) using the base radius and dome height.
How to Calculate End Cap Volume?
The following steps outline how to calculate the End Cap Volume.
- First, determine the base radius of the end cap (R).
- Next, determine the cap height of the end cap (H).
- Next, calculate the volume using the formula V = πH(3R² + H²) / 6.
- Finally, calculate the End Cap Volume.
- After inserting the values and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Radius of the end cap (R) = 5 m
Height of the end cap (H) = 10 m