Math & Everyday
Volume Calculator
Volume of a cube, box, cylinder, sphere, or cone from its dimensions.
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CalcoTools · Volume Calculator · generated 9/5/2026, 4:01:55 PM
About the Volume Calculator
Computes the volume of five common solids — cube, rectangular prism (box), cylinder, sphere, and cone — from their dimensions, using the standard geometry formula for each.
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How to use it
- Pick a shape.
- Enter its dimensions.
- Read the computed volume.
Formula
Cube: side³. Box: length × width × height. Cylinder: π × radius² × height. Sphere: (4/3) × π × radius³. Cone: (1/3) × π × radius² × height.
Worked example
A cylinder with radius 2 and height 10: π × 2² × 10 = 125.66. A sphere with radius 3: (4/3) × π × 3³ = 113.10.
Volume formulas by shape
| Shape | Formula |
|---|---|
| Cube | side³ |
| Box | length × width × height |
| Cylinder | π × radius² × height |
| Sphere | (4/3) × π × radius³ |
| Cone | (1/3) × π × radius² × height |
Interpreting your result
Unit-agnostic. A cone's volume is exactly one-third of a cylinder with the same base and height.
Recommendations
- • A cone always has exactly ⅓ the volume of a cylinder sharing the same radius and height.
- • For a box, make sure all three dimensions use the same unit before entering them.
- • Doubling a sphere's radius multiplies its volume by 8 (radius is cubed), not 2.
Frequently asked questions
It's a geometric identity — a cone tapering to a point from the same circular base and height always encloses exactly one-third the volume of the equivalent cylinder.
Related searches
Sources
- NIST — Reference on Constants, Units, and Uncertainty — accessed 2026-09-05