Geometry Tool

Capsule Calculator

Calculate the volume and surface area of a capsule (a cylinder with hemispherical ends).

Σ The Formula

V = πr²(h + 4r/3)

Real World Examples

Medicine Pill
r=2mm, h=5mm → V=96.34 mm³
Storage Tank
r=1m, h=4m → V=16.76 m³

# About This Calculator

A Capsule (or spherocylinder) is a three-dimensional geometric shape composed of a cylinder with hemispherical ends. It is the shape of many common items, including antibiotic pills, large propane storage tanks, and even the hulls of some submarines.

Calculating the volume of a capsule involves adding the volume of the central cylinder to the volume of the two hemispheres (which together form a complete sphere of the same radius).

How To Use

  1. Enter the **Radius** of the capsule (the radius of both the cylinder and the ends).
  2. Enter the **Height** of the cylinder section only (excluding the rounded ends).
  3. Click **Analyze Capsule** to get volume and surface area results.

Frequently Asked Questions

Does 'height' include the ends?+

In this calculator, 'Height' refers specifically to the side of the cylinder section. The total length of the capsule would be Height + 2 × Radius.

Is surface area for the whole shape?+

Yes, the calculation includes both the cylindrical wall and the entire surface of the two spherical caps.

Is Capsule Calculator free to use?+

Yes, Capsule Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Capsule Calculator?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Capsule Calculator are accurate for academic and professional use.

Can I use Capsule Calculator on my phone?+

Yes! Capsule Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

About

A Capsule (or spherocylinder) is a three-dimensional geometric shape composed of a cylinder with hemispherical ends. It is the shape of many common items, including antibiotic pills, large propane storage tanks, and even the hulls of some submarines.

Calculating the volume of a capsule involves adding the volume of the central cylinder to the volume of the two hemispheres (which together form a complete sphere of the same radius).

Related Tools

Annulus Calculator

Volume Calculator

Surface Area

Pythagorean