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Volume of a Cylinder

Instantly calculate the volume and total surface area of a cylinder. Simply input the radius and height of your cylinder.

Volume
Capacity
Area
Surface Area
units
units

Cylinder Formulas

A cylinder is a 3D shape with two parallel circular bases. To calculate its properties, you need the **radius (r)** of the base and the **height (h)**.

Volume Formula

V = π × r² × h

Surface Area Formula

A = 2πrh + 2πr²

How to Calculate Cylinder Volume

The volume of a cylinder is basically the area of the circular base multiplied by the height.

  1. Square the radius: Multiply the radius by itself (r × r).
  2. Multiply by Pi: Multiply that result by π (3.14159). This gives you the area of the base.
  3. Multiply by height: Finally, multiply by the height of the cylinder to get the volume.

Solved Example

Calculate the volume of a soda can with a radius of 3 cm and a height of 10 cm.

V = π × r² × h
V = 3.14159 × 3² × 10
V = 3.14159 × 9 × 10
V = 3.14159 × 90
V ≈ 282.74 cm³

Frequently Asked Questions

What is lateral surface area?

Lateral surface area is the area of the side of the cylinder only, excluding the top and bottom circles. The formula is 2πrh.

Can I enter diameter instead of radius?

Yes, just divide your diameter by 2 to get the radius before entering it into the calculator.

Is the surface area formula for a closed cylinder?

Yes, the surface area calculated here assumes a closed cylinder (top + bottom + side). If it's an open pipe, you would just calculate the lateral area.