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MathKit

Cylinder Volume Calculator

Compute the volume of a cylinder: V = π × r² × h.

Calculator

Use the Cylinder Volume Calculator

Result

—

Formula

V = π × r² × h

Step-by-step

  1. 1

    Enter radius and height

    The circular base plus how tall it is.

  2. 2

    Read the volume

    Volume in cubic units.

Worked example

Example input: a: 2, b: 10

Result: 125.6637

Related tools

Frequently asked questions

What is the cylinder volume formula?

V = pi x r-squared x h, the circular base area times the height. A radius of 2 and a height of 10 give 125.66 cubic units, exactly the example above: pi times 4 times 10.

How do I use diameter instead of radius?

Halve it first: a diameter of 6 is a radius of 3, so enter 3. The formula needs the radius from the center to the edge; feeding it the diameter would inflate the answer fourfold.

Why does the height enter once but the radius twice?

Because the base is a circle: its area already contains r-squared, and volume stacks that area up the height. Squaring comes from geometry, not from a wish to reward big radii.

What is the volume of a cylinder with diameter 10 and height 8?

About 628.32 cubic units. The radius is half the diameter — 10 → 5 — so V = π × 5² × 8 = 200π ≈ 628.3185. Enter radius 5 and height 8 above to reproduce it.

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