Cylinder Volume Calculator

Radius:

Height:

The volume of the cylinder is:

Formula: V = π × r² × h

Where: π ≈ 3.1416, r = radius, h = height

Cylinder Volume: Formula, Applications, and Calculator

Cylinders are one of the most common three-dimensional shapes encountered in daily life and various professional fields. From soda cans to industrial pipes, understanding how to calculate their volume is essential for countless applications. This comprehensive guide explains the cylinder volume formula, its practical uses, and introduces our interactive calculator tool.

What is a Cylinder?

A cylinder is a solid geometric figure with parallel circular bases connected by a curved surface. When we refer to a “cylinder” in mathematical contexts, we typically mean a right circular cylinder, where the axis connecting the centres of the circular bases is perpendicular to those bases.

Key Properties of a Cylinder:

Radius (r): The distance from the centre to the edge of the circular base
Height (h): The perpendicular distance between the two circular bases
Base Area: The area of the circular base, calculated as πr²

The Cylinder Volume Formula

The volume of a cylinder represents the amount of three-dimensional space it occupies. The formula for calculating cylinder volume is:

V = π × r² × h

Where:

V = Volume
π = Pi (approximately 3.1416)
r = Radius of the circular base
h = Height of the cylinder

Understanding the Formula

The formula derives from calculating the area of the circular base (πr²) and multiplying it by the height (h). This follows the general principle for finding the volume of any prism-like shape: Volume = Base Area × Height.

Key Features of the Cylinder Volume Calculator:

Dual Unit Support: Input measurements in centimetres, meters, or inches
Automatic Unit Conversion: Results displayed in multiple cubic units
Visual Aid: Interactive cylinder diagram with dimension labels
Responsive Design: Works perfectly on desktop and mobile devices
Error Handling: Validates inputs and provides helpful feedback
Explanation of Formula: Educational component showing the calculation method
PDF Export: Option to download results for documentation

How to Use the Cylinder Volume Calculator

Our tool is designed for simplicity and educational value. Here’s a step-by-step guide:

Step 1: Enter the Radius

Input the radius value in the first field
Select the appropriate unit (cm, m, or in) from the dropdown

Step 2: Enter the Height

Input the height value in the second field
Select the corresponding unit

Step 3: Calculate

Click the “Calculate” button to see the volume result
The tool will display the volume in the original units plus conversions

Step 4: Reset or Download (Optional)

Use “Reset” to clear all fields and start over
Use “Download PDF” to save your calculation

Example Calculation

Let’s calculate the volume of a cylinder with:

Radius = 5 cm
Height = 10 cm

Using the formula:
V = π × r² × h
V = 3.1416 × (5)² × 10
V = 3.1416 × 25 × 10
V = 785.4 cm³

Our calculator would display this result and also provide conversions to m³ and in³.

Try Our Calculator Now!

The interactive calculator below is ready to use. Input your cylinder’s dimensions and discover its volume instantly!

Cylinder Volume Calculator – Calculate Volume of a Cylinder