Cylinder Volume Calculator

Calculate cylinder volume from height and base radius.

Cylinder volume from height and radius
V = 2πhR²
Cylinder height h
Base radius R
Result:

Calculate cylinder volume from height and base diameter.

Cylinder volume from height and diameter
V = 14hπd²
Cylinder height h
Base diameter d
Result:

Calculate cylinder volume from height and base circumference.

Cylinder volume from height and circumference
V = h×C²4*π
Cylinder height h
Base circumference C
Result:

Calculate cylinder volume from height and base area.

Cylinder volume from height and base area
V = h×S
Cylinder height h
Base area S
Result:

A cylinder is a three-dimensional shape with two identical parallel circular bases connected by a curved surface. Its volume equals the area of the base multiplied by the height.

When Volume Matters

Manufacturing: Determine the capacity of tanks, silos, bottles, and cylindrical packaging.

Construction: Calculate concrete volume for cylindrical columns and piers.

Fluid systems: Find how much liquid a pipe or storage tank can hold.

Education: Solve spatial geometry problems in math and physics courses.

How It Works

Enter any base measurement — radius, diameter, circumference, or area — plus the height. The calculator converts your input into the base area, then multiplies by height: V = Sbase x h.

Data Entry: Fill in the known values and click Calculate.

Conversion: The calculator derives the base area from whichever measurement you provided.

Result: Volume is displayed in cubic units (cm³, m³, etc. depending on your input units).

Volume Formulas

From height h and radius R:

V = πR²h

V = 2πhR²

Where V is volume, R is base radius, h is height, π ≈ 3.14159.

From height h and diameter d:

V = π(d/2)²h = πd²h/4

V = 14hπd²

Where d is base diameter (d = 2R).

From height h and circumference C:

V = C²h / 4π

V = h×C²4*π

Where C is the circumference of the base (C = 2πR).

From height h and base area S:

V = S x h

V = h×S

Where S is the area of the circular base.

Keep your input units consistent (all in cm, all in m, etc.) to avoid conversion errors.