Capsule Calculator

units
Enter radius in units.
units
Enter straight cylinder length in units.
Math

Capsule: calculate results from explicit inputs, with a formula and worked example.

Formula

V = πr²L + 4πr³/3; surface = 2πrL + 4πr²

Example Calculation

Example inputs
  • Radius: 2 units
  • Straight cylinder length: 6 units

Radius 2 and straight length 6 give total length 10 and volume 104π/3.

Frequently asked questions

How do I use this calculator?

Enter radius, straight cylinder length. The result updates automatically. Use Reset to restore the example values.

What method does it use?

V = πr²L + 4πr³/3; surface = 2πrL + 4πr². Euclidean geometry. Use one consistent length unit; areas and volumes use its square and cube. Degenerate shapes are rejected. Very thin shapes may lose floating-point precision. Two hemispheres cap a right cylinder. Length excludes the caps; zero cylinder length gives a sphere.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.