Shapes & spaces

Cylinder radius and volume from lateral area calculator

Recover cylinder radius and capacity from the curved area and height.

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Behind the numbers

How this calculation works

Recover cylinder radius and capacity from the curved area and height.

THE FORMULAr=A/(2πh), V=πr²h

A worked example

Lateral area 20π and height 5 imply radius 2 and volume 20π.

Good to know

Lateral area excludes both circular ends.

Read the result

Recover cylinder radius and capacity from the curved area and height.

The primary result is labeled “Radius”. Keep the input definitions in view when comparing this result with another method.

Try a related calculation

Lateral area excludes both circular ends.

For a related exercise, try the circle calculator.

A few questions, answered

How can I check the default inputs by hand?

Lateral area 20π and height 5 imply radius 2 and volume 20π.

Which rule does this calculator apply?

r=A/(2πh), V=πr²h

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