{
  "slug": "cylinder-volume",
  "title": "Cylinder Volume Calculator",
  "heading": "Cylinder Volume Calculator",
  "category": "math",
  "url": "https://www.revenuelab.fyi/toolbox/cylinder-volume",
  "summary": "Volume, surface area, and capacity of a cylinder.",
  "description": "Tanks, pipes, columns, and cans are all cylinders. Results include gallons and litres, so it doubles as a tank-capacity tool.",
  "formula": "V = πr²h. Surface area = 2πr² + 2πrh.",
  "dateModified": "2026-09-30",
  "run_url": "https://www.revenuelab.fyi/api/public/calc?tool=cylinder-volume",
  "inputs": [
    {
      "id": "radius",
      "label": "Radius",
      "kind": "number",
      "hint": null,
      "default": 3,
      "unit": "ft",
      "min": 0,
      "max": null
    },
    {
      "id": "height",
      "label": "Height",
      "kind": "number",
      "hint": null,
      "default": 10,
      "unit": "ft",
      "min": 0,
      "max": null
    }
  ],
  "outputs": [
    {
      "id": "volume",
      "label": "Volume (cu ft)",
      "format": "decimal",
      "hint": null,
      "primary": true
    },
    {
      "id": "gallons",
      "label": "US gallons",
      "format": "decimal",
      "hint": null,
      "primary": false
    },
    {
      "id": "liters",
      "label": "Litres",
      "format": "decimal",
      "hint": null,
      "primary": false
    },
    {
      "id": "cubicYards",
      "label": "Cubic yards",
      "format": "decimal",
      "hint": null,
      "primary": false
    },
    {
      "id": "surface",
      "label": "Surface area (sq ft)",
      "format": "decimal",
      "hint": null,
      "primary": false
    }
  ],
  "worked_example": {
    "inputs": [
      "Radius: 3 ft",
      "Height: 10 ft"
    ],
    "outputs": [
      "Volume (cu ft): 282.7433",
      "US gallons: 2,115.07",
      "Litres: 8,006.39",
      "Cubic yards: 10.472",
      "Surface area (sq ft): 245.044"
    ]
  },
  "how_to": {
    "title": "How to use this",
    "steps": [
      "Enter radius (ft).",
      "Enter height (ft).",
      "Read your volume (cu ft) on the right — it updates as you type.",
      "Hit Share to keep the scenario or send it to someone."
    ]
  },
  "scenarios": [
    {
      "name": "Conservative",
      "description": "Lower-end numbers — what if things land soft?",
      "values": {
        "radius": 1.7999999999999998,
        "height": 10
      }
    },
    {
      "name": "Typical",
      "description": "Defaults — the most common real-world setup.",
      "values": {
        "radius": 3,
        "height": 10
      }
    },
    {
      "name": "Ambitious",
      "description": "Higher-end numbers — what if things really pop?",
      "values": {
        "radius": 4.800000000000001,
        "height": 10
      }
    }
  ],
  "limitations": [
    "Results are rounded for display; the underlying calculation keeps full precision.",
    "Very large or very small inputs may hit floating-point limits in the browser.",
    "Inputs outside the accepted range are clamped rather than rejected."
  ],
  "faq": [
    {
      "q": "How does the cylinder volume calculator work?",
      "a": "Tanks, pipes, columns, and cans are all cylinders. Results include gallons and litres, so it doubles as a tank-capacity tool. The underlying maths is: V = πr²h. Surface area = 2πr² + 2πrh."
    },
    {
      "q": "What do I need to enter?",
      "a": "2 values: radius, and height. Each field starts with a sensible default, so you can change one number at a time and watch the result move."
    },
    {
      "q": "What does the volume (cu ft) result mean?",
      "a": "It is returned as a decimal number and updates live as you edit the inputs, so you can compare two or three versions of a scenario in a few seconds."
    },
    {
      "q": "Is this calculator free, and do I need an account?",
      "a": "Yes, it's free, and no account is required. Nothing you type is stored on our servers — the maths runs entirely in your browser."
    },
    {
      "q": "How accurate is the result?",
      "a": "It applies the standard formula exactly, so the arithmetic is precise. Results are rounded for display; the underlying calculation keeps full precision."
    },
    {
      "q": "Who is this tool for?",
      "a": "It's built for students, developers, and anyone who needs the answer right now without setting up a spreadsheet."
    }
  ],
  "related": [
    "https://www.revenuelab.fyi/toolbox/circle",
    "https://www.revenuelab.fyi/toolbox/concrete-slab",
    "https://www.revenuelab.fyi/toolbox/pool-volume"
  ],
  "license": "CC-BY-4.0",
  "citation": "RevenueLab — Cylinder Volume Calculator (https://www.revenuelab.fyi/toolbox/cylinder-volume)"
}