# Volume Calculator

> Calculate volume and related surface measurements for eleven common three-dimensional shapes.

Page: https://askcalculators.com/calculator/volume-calculator/
Definition: https://askcalculators.com/calculator/volume-calculator/definition.json
JSON Schema: https://askcalculators.com/calculator/volume-calculator/schema.json
Version: 2.0.0
Maintained by: AskCalculators (software project; not a credentialed reviewer)
Qualified review: pending. Automated checks do not establish professional approval.
Page status: Live
Review status: Pending

## Use
Open the calculator page and enter values. Query-string parameters can restore and bookmark a calculation.
Example: https://askcalculators.com/calculator/volume-calculator/?shape=sphere&sphereRadius=5

## Inputs
- shape: Solid; type=select; required; default=sphere; values=sphere|cone|cube|cylinder|box|capsule|spherical-cap|frustum|ellipsoid|square-pyramid|tube
- sphereRadius: Sphere radius; type=number; required; default=5; min=0.000001; showWhen=shape:sphere
- coneRadius: Cone base radius; type=number; required; default=3; min=0.000001; showWhen=shape:cone
- coneHeight: Cone height; type=number; required; default=8; min=0.000001; showWhen=shape:cone
- cubeEdge: Cube edge length; type=number; required; default=4; min=0.000001; showWhen=shape:cube
- cylinderRadius: Cylinder radius; type=number; required; default=3; min=0.000001; showWhen=shape:cylinder
- cylinderHeight: Cylinder height; type=number; required; default=8; min=0.000001; showWhen=shape:cylinder
- boxLength: Tank length; type=number; required; default=10; min=0.000001; showWhen=shape:box
- boxWidth: Tank width; type=number; required; default=6; min=0.000001; showWhen=shape:box
- boxHeight: Tank height; type=number; required; default=4; min=0.000001; showWhen=shape:box
- capsuleRadius: Capsule radius; type=number; required; default=2; min=0.000001; showWhen=shape:capsule
- capsuleHeight: Cylinder-section height; type=number; required; default=6; min=0.000001; showWhen=shape:capsule
- capBallRadius: Ball radius; type=number; required; default=5; min=0.000001; showWhen=shape:spherical-cap
- capHeight: Cap height; type=number; required; default=2; min=0.000001; showWhen=shape:spherical-cap
- frustumTopRadius: Top radius; type=number; required; default=2; min=0.000001; showWhen=shape:frustum
- frustumBottomRadius: Bottom radius; type=number; required; default=4; min=0.000001; showWhen=shape:frustum
- frustumHeight: Frustum height; type=number; required; default=6; min=0.000001; showWhen=shape:frustum
- ellipsoidA: Ellipsoid axis a; type=number; required; default=3; min=0.000001; showWhen=shape:ellipsoid
- ellipsoidB: Ellipsoid axis b; type=number; required; default=4; min=0.000001; showWhen=shape:ellipsoid
- ellipsoidC: Ellipsoid axis c; type=number; required; default=5; min=0.000001; showWhen=shape:ellipsoid
- pyramidBaseEdge: Square-pyramid base edge; type=number; required; default=6; min=0.000001; showWhen=shape:square-pyramid
- pyramidHeight: Square-pyramid height; type=number; required; default=8; min=0.000001; showWhen=shape:square-pyramid
- tubeOuterDiameter: Tube outer diameter; type=number; required; default=10; min=0.000001; showWhen=shape:tube
- tubeInnerDiameter: Tube inner diameter; type=number; required; default=8; min=0.000001; showWhen=shape:tube
- tubeLength: Tube length; type=number; required; default=12; min=0.000001; showWhen=shape:tube

## Outputs
- volume: Volume; format=number; primary
- surfaceArea: Surface area; format=number
- baseArea: Base or cross-sectional area; format=number
- shapeName: Solid; format=text

## Formula
Shape formulas include V=4πr³/3, πr²h, lwh, πr²(h+4r/3), πh(r²+rR+R²)/3, and 4πabc/3.

## Rules
- Empty optional inputs are undefined, not zero.
- Hidden conditional inputs are ignored.
- Do not invent missing required inputs.