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Geometry

Tube Calculator

Tube volume and area. Free online Tube Calculator. Calculate tube online — fast, accurate, mobile-friendly, no signup needed.

Volume
1,256.637061

Derivation

  1. ├── 01GivenR = 6, r = 4, h = 20
  2. ├── 02Formulaπ × (t²-a²) × n
  3. └── 03Compute Volume1,256.637061
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§01What is

Understanding the Tube Calculator

The Tube Calculator computes Volume from 3 inputs: outer radius, inner radius, length. Tube volume and area.

Geometry is what turns raw measurements into useful answers about space — how much paint, how big a yard, how much material a project will need. Every craftsperson, architect, and DIYer reaches for these formulas regularly. The Tube Calculator sits in that toolkit — it tube volume and area. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

π × (t²-a²) × n

Where

R
Outer radius
r
Inner radius
h
Length
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Outer radius = 6, Inner radius = 4, Length = 20.

  1. 01Start by noting the input — Outer radius: 6.
  2. 02Start by noting the input — Inner radius: 4.
  3. 03Start by noting the input — Length: 20.
  4. 04Substitute these values into the formula: π × (t²-a²) × n
  5. 05Compute Volume: the calculator returns 1256.64.
  6. 06Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04Variants

Common Tube Problems

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.

01 · PATTERN

Outer radius halved

R = 3 (from 6)

Keep every other input at its default and halve the outer radius. See how volume responds.

  1. 01New Outer radius: 3
  2. 02Baseline Volume: 1256.64
  3. 03New Volume: -439.823
  4. 04Volume decreases by 135% → use this sensitivity to plan for real-world variation.
02 · PATTERN

Outer radius doubled

R = 12 (from 6)

Keep every other input at its default and double the outer radius. See how volume responds.

  1. 01New Outer radius: 12
  2. 02Baseline Volume: 1256.64
  3. 03New Volume: 8042.48
  4. 04Volume increases by 540% → use this sensitivity to plan for real-world variation.
03 · PATTERN

Inner radius halved

r = 2 (from 4)

Keep every other input at its default and halve the inner radius. See how volume responds.

  1. 01New Inner radius: 2
  2. 02Baseline Volume: 1256.64
  3. 03New Volume: 2010.62
  4. 04Volume increases by 60% → use this sensitivity to plan for real-world variation.
04 · PATTERN

Inner radius doubled

r = 8 (from 4)

Keep every other input at its default and double the inner radius. See how volume responds.

  1. 01New Inner radius: 8
  2. 02Baseline Volume: 1256.64
  3. 03New Volume: -1759.29
  4. 04Volume decreases by 240% → use this sensitivity to plan for real-world variation.
§05FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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