Capsule Calculator

Capsule Volume and Surface Area Calculator

Calculate the volume and surface area of a capsule (cylinder with hemispherical ends). Perfect for pharmaceutical, engineering, and design applications.

A capsule is a geometric shape consisting of a cylinder with hemispherical ends. This calculator helps you determine its volume and surface area, which is essential for pharmaceutical design, engineering applications, and manufacturing processes.

Formula

Volume = πr²h + (4/3)πr³
Surface Area = 2πrh + 4πr²

Where:

  • r:radius of the capsule
  • h:length of the cylindrical section

How to Calculate Capsule Volume

The volume of a capsule is calculated by adding the volume of the cylindrical section (πr²h) to the volume of the two hemispherical ends (2 × ⅔πr³).

Applications

Capsules are commonly used in pharmaceutical design, supplement manufacturing, and industrial applications where smooth, rounded containers are needed.

Frequently Asked Questions

What is a capsule shape?

A capsule is a three-dimensional shape formed by a cylinder with hemispherical ends. It's similar to a pill or medication capsule shape.

Why use capsule shapes?

Capsule shapes are used because they are easy to manufacture, have no sharp edges, and provide efficient volume for their surface area.