Capsule Volume Calculator
Calculate capsule volume from radius and cylinder or overall length. Perfect for horizontal propane tanks, pressure vessels, and pills.
Subtract the two hemispherical end-caps from the total tip-to-tip length.
The straight middle barrel volume.
Combining both hemispherical domed ends forms one complete sphere of radius r.
Adding the cylindrical barrel and rounded caps gives the total capsule interior capacity.
A capsule consists of a cylinder with two hemispherical ends (forming one complete sphere). Total volume equals cylinder volume plus sphere volume: V = πr²a + (4/3)πr³, where a is the straight cylinder section length.
Capsule Volume Calculator Formula
| Variable | Definition | Standard Units |
|---|---|---|
| V | Total internal volume of the capsule | in³, ft³, gal, L, m³ |
| r | Radius of the cylinder and hemispherical caps | in, ft, cm, or m |
| a | Length of the straight central cylinder section | in, ft, cm, or m |
| L_total | Overall tip-to-tip length (a + 2r) | in, ft, cm, or m |
Capsule Geometry: Combining a Cylinder and a Sphere
When designing pressure vessels, hemispherical heads are structurally superior because they distribute stress evenly. Geometrically, taking the two hemispherical end-caps and joining them produces one complete sphere. Therefore, the volume of any capsule is simply the cylinder volume plus one full sphere volume.
Common Calculation Mistakes to Avoid
- Confusing the straight barrel length (a) with the total tip-to-tip length (L_total = a + 2r)
- Entering total length smaller than 2r (which would mean a negative cylinder length)
Frequently Asked Questions
What is the formula for the volume of a capsule?▼
How do you calculate capsule volume from total length?▼
What types of industrial tanks use capsule geometry?▼
What is the surface area of a capsule?▼
Authoritative Sources & Reference Standards
- Guide for the Use of the International System of Units (SI), NIST Special Publication 811 — National Institute of Standards and Technology (NIST). Verified 2026-10-01.
Official SI unit definitions, conversion factors (Appendix B), and precision standards for cubic meters, liters, and US customary units.
- Common Core State Standards for Mathematics: High School Geometry (Geometric Measurement and Dimension HSG.GMD.A.1–3) — National Governors Association Center for Best Practices & Council of Chief State School Officers. Verified 2026-10-01.
Curricular standards for volume formulas of cylinders, pyramids, cones, and spheres, including Cavalieri’s principle.