Math
Sphere volume and surface area
Find the surface area and volume of a sphere.
Calculators / Math / Capsule volume and surface area
Capsule volume and surface area calculator
Model a capsule as a straight cylinder with two hemispherical ends; the entered straight length excludes both rounded ends.
On this page
Volume96.34units³
Surface area113.1units²
Calculator controls
How to calculate
Model a capsule as a straight cylinder with two hemispherical ends; the entered straight length excludes both rounded ends.
Volume = pi*r^2*l+4*pi*r^3/3 units³; Surface area = 2*pi*r*l+4*pi*r^2 units²
Worked example
Radius: 2; Straight section length: 5.
Volume: 96.34 units³; Surface area: 113.1 units².
Assumptions and limits
Model a capsule as a straight cylinder with two hemispherical ends; the entered straight length excludes both rounded ends. The straight length excludes both hemispherical ends. Use one length unit for all dimensions.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Model a capsule as a straight cylinder with two hemispherical ends; the entered straight length excludes both rounded ends.
When this tool is useful
Volume = pi*r^2*l+4*pi*r^3/3 units³; Surface area = 2*pi*r*l+4*pi*r^2 units²
Understanding your inputs
| Input | What to enter |
|---|---|
| Radius | Enter a number of at least 1e-12 and no more than 1000000000000. |
| Straight section length | Enter a number of at least 0 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Model a capsule as a straight cylinder with two hemispherical ends; the entered straight length excludes both rounded ends. The straight length excludes both hemispherical ends. Use one length unit for all dimensions.
How is the result calculated?
Volume = pi*r^2*l+4*pi*r^3/3 units³; Surface area = 2*pi*r*l+4*pi*r^2 units²