End Cap Volume Calculator

The End Cap Volume Calculator helps you determine the internal volume of various end cap designs used in pressure vessels, tanks, or piping systems. It provides accurate volume estimates for hemispherical, ellipsoidal, and torispherical end caps. This tool plays a vital role in industries like chemical processing, oil and gas, and fluid storage.

This calculator falls under the Engineering and Industrial Design Calculators category.

Formula of End Cap Volume Calculator

1. Hemispherical End Cap Volume:

Volume = (2/3) × π × r³

• r is the radius of the cap (in any consistent unit)
• π is approximately 3.1416
• The result is in cubic units (e.g., cm³, in³)

2. Ellipsoidal (2:1) End Cap Volume:

Volume = (π / 6) × D² × H

• D is the diameter of the cap
• H is the height of the cap (typically D / 4 for 2:1 ellipsoids)
• Used in ASME-standard pressure vessels

3. Torispherical End Cap Volume (approximated):

Volume = π × h² × (R – h / 3)

• h is the crown height (depth of the dome)
• R is the crown radius (commonly equal to the diameter)
• This formula works for shallow domes with a rounded edge

Quick Reference Table

Use the following table to quickly estimate common end cap volumes without detailed calculations:

These figures use the given formulas with standard assumptions and help with quick planning.

Example of End Cap Volume Calculator

Suppose you need to find the volume of a hemispherical end cap with a radius of 6 inches.

Apply the formula:
Volume = (2/3) × π × 6³
= (2/3) × 3.1416 × 216 = 452.39 in³

So, this hemispherical cap holds approximately 452.39 cubic inches.

Most Common FAQs