Capsule Calculator

Volume and surface area of a cylinder with rounded ends. Enter the values you know and the rest are worked out, with the steps shown.

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About the capsule calculator

A capsule (spherocylinder) is a cylinder capped by two hemispheres, as in pills and propane tanks. Its volume is a sphere plus a cylinder: πr²(4r/3 + a).

Formulas

VolumeV = πr²(4r/3 + a)
Surface areaS = 2πr(2r + a)
Total lengthL = a + 2r

Frequently asked questions

How do I find the volume of a propane tank shape?

Treat it as a capsule: measure the radius r and the straight section a, then V = πr²(4r/3 + a).