Cylinder Volume Calculator

Enter any two of the three values (radius, height and volume) using consistent units, then click calculate to get the missing one.

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Please fill in exactly two of the three values. The remaining one will be calculated automatically.
Result
Cylinder Diagram
圆柱体积计算公式: \(V = \pi r^2 h\)

About the Cylinder Volume Calculator

A right circular cylinder is a solid with two parallel circular bases of equal size. Its key dimensions are the base radius r and height h.

If r is the base radius and h is the height, the volume of a cylinder is given by V = π · r² · h. This calculator uses that formula to convert between radius, height and volume.

When radius and height are known, volume is computed from V = π · r² · h. When volume and one dimension are known, you can invert the formulas r = √(V / (πh)) or h = V / (πr²) to find the missing value. As long as you keep units consistent, the result has clear physical meaning.

All inputs must be greater than 0. If the volume looks far too large or small compared with r²h, it may indicate unit mismatch or input errors.

Quiz: Test Your Understanding of Cylinders and Volume

1. What is the basic volume formula for a right circular cylinder?

V = π · r² · h.

2. If height doubles while radius stays the same, how does volume change?

Volume is proportional to height, so it doubles as well.

3. If radius doubles while height stays the same, how does volume change?

Volume is proportional to r², so doubling radius makes volume four times larger.

4. If a cylinder has radius 3 and height 5, what is its approximate volume?

V = π · 3² · 5 = 45π, approximately 141.4 when π ≈ 3.1416.

5. Why must all inputs use the same unit?

Because volume combines area and height into cubic units; inconsistent units make the result physically meaningless.

6. Where is cylinder volume calculation used in practice?

In water tanks, storage cylinders, pipes, mechanical parts and many engineering problems.

7. What happens if radius or height is zero or negative?

That does not represent a real cylinder, and this tool will report that the value must be greater than zero.

8. How is cylinder volume related to cone volume with the same base and height?

The cone's volume is exactly one third of the corresponding cylinder's volume.

9. How can you use volume to estimate how much material fits into a cylindrical container?

First compute the container's volume, then multiply or convert according to material density to estimate mass or quantity.

10. What advantages does this online cylinder volume calculator have over manual calculation?

It quickly evaluates many combinations of radius and height, reduces arithmetic mistakes and speeds up learning and engineering work.

Cylinder Volume Tool

This tool lets you switch between “given radius and height, find volume” and “given volume plus one dimension, solve for the other”, useful for geometry, tanks and containers.

Scan the QR code to use this tool on mobile.