How does the Cylinder Calculator work?

Volume = π × r² × h Then: Lateral surface area = 2πrh Then: Total surface area = 2πr(r + h).

Can you give an example of how to use the Cylinder Calculator?

Example: Input r=4, h=10 gives a result of V=502.65, SA=351.86 (V=π×16×10, SA=2π×4×(4+10)).

Is the Cylinder Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Cylinder Calculator?

Our Cylinder Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Mathematics

Cylinder Calculator

V = πr²h | SA = 2πr(r + h)

Radius (r)

r =

Height (h)

h =

Variable Key

r= base radiush= heightV= volumeSA= total surface areaLA= lateral area

Volume

Space enclosed inside the cylinder.

Surface area

Total area of both bases plus the lateral side.

Lateral area

Total SA

Given volume — find r or h

Reverse-solve for a dimension.

Find r

Find h

r= base radius

h= height

V= volume

SA= total surface area

LA= lateral area

A cylinder has two parallel circular bases connected by a curved lateral surface. It is one of the most common 3D shapes — cans, pipes, barrels, and columns are all cylinders.

Property	Formula
Volume	V = πr²h
Lateral area	LA = 2πrh
Total surface area	SA = 2πr(r + h)
Find radius from V	r = √(V/πh)
Find height from V	h = V/πr²

References

›Cylinder — Wikipedia
›Cylinder — Math is Fun

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Cylinder Calculator