Maths & numbers

Capsule volume & area

Measure a cylinder with two hemispherical ends.

Capsule volume & area
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A clear answer. Here’s how.

A capsule is a right circular cylinder plus two hemispheres. Volume = πr²L + 4πr³/3, external area = 2πrL + 4πr², and end-to-end length = L + 2r. Enter only the straight section length. At zero straight length the shape is a sphere.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Radius
2
Straight cylindrical section length
6

Example result

Volume
108.908545324
External surface area
125.663706144
End-to-end length
10
Diameter
4