Logo

MonoCalc

Cylinder Volume Calculator

Radius

Enter the radius of the cylinder

Height

Enter the height of the cylinder

Settings

Unit

Decimal Precision

Use π symbol

Show calculation steps

Result

Formula Used:

Volume = π × r² × h

About the tool

🔄 Cylinder Volume Calculator – Calculate Volume from Radius and Height

Need to calculate the volume of a cylinder? The Cylinder Volume Calculator computes the volume using the radius and height measurements, providing a step-by-step breakdown of the calculation process.

This guide explains what a cylinder is, how to calculate its volume, and walks you through using our free online cylinder volume calculator to solve geometry problems quickly and accurately.

📘 What Is a Cylinder?

A cylinder is a three-dimensional geometric shape with two parallel circular bases connected by a curved surface. Common examples include cans, pipes, tanks, and many containers we use in everyday life.

The key measurements of a cylinder are:

  • Radius (r): The distance from the center of the circular base to any point on its edge
  • Height (h): The perpendicular distance between the two circular bases

📏 How to Calculate a Cylinder's Volume

The standard formula for calculating a cylinder's volume is:

Volume = π × r² × h

Where:

  • π (pi) is approximately 3.14159
  • r is the radius of the circular base
  • h is the height of the cylinder

The calculation can be broken down into these steps:

  1. Square the radius (r²)
  2. Multiply by π (π × r²) to get the area of the circular base
  3. Multiply by the height (π × r² × h) to get the volume

⚙️ How the Cylinder Volume Calculator Works

Our cylinder volume calculator makes it easy to find the volume of any cylinder:

  1. Enter the radius of the circular base
  2. Enter the height of the cylinder
  3. Select the unit of measurement (cm, m, in, ft)
  4. Adjust decimal precision if needed
  5. View the calculated volume and step-by-step breakdown

🧩 Key Features

  • ⚡ Instant calculations as you input values
  • 📊 Step-by-step breakdown showing each part of the calculation
  • 🔄 Toggle between using π symbol and its numerical approximation
  • 📏 Support for different units (cm, m, in, ft)
  • 🔍 Adjustable decimal precision for results
  • 🎨 Visual representation of the cylinder with labeled dimensions
  • 📋 Copy results to clipboard
  • 🔄 Reset button to start a new calculation
  • 🔐 Client-side only — no data is ever uploaded
  • 📱 Responsive design for all devices
  • 🌓 Light and dark mode support

💡 Practical Applications of Cylinder Volume Calculations

  • 🏗️ Engineering: Designing cylindrical tanks, pipes, and containers
  • 🏠 Construction: Calculating concrete needed for cylindrical columns
  • 🧪 Science: Measuring volumes in laboratory cylinders and containers
  • 🍶 Manufacturing: Determining capacity of cylindrical products
  • 🌊 Water Storage: Calculating capacity of water tanks and barrels
  • 🛢️ Oil and Gas: Measuring storage capacity of cylindrical tanks
  • 📚 Education: Learning and teaching 3D geometry concepts

🔄 Understanding Volume Units

Volume is measured in cubic units, which are derived from the units used for the radius and height:

  • Cubic Centimeters (cm³): Used for small objects and containers
  • Cubic Meters (m³): Used for larger volumes like rooms or large tanks
  • Cubic Inches (in³): Common in US customary measurements for smaller objects
  • Cubic Feet (ft³): Used in US customary measurements for larger volumes

Our calculator automatically applies the appropriate cubic unit based on your input unit selection.

🔄 How to Use the Cylinder Volume Calculator

  1. Enter the radius of the cylinder's circular base
  2. Enter the height of the cylinder
  3. Choose your preferred unit (cm, m, in, ft)
  4. Adjust the decimal precision if needed
  5. Toggle between π symbol and numerical value if desired
  6. View the calculated volume and step-by-step calculation
  7. Use the "Copy Result" button to copy the calculation to your clipboard
  8. Use the "Reset" button to start a new calculation

🧮 Example Cylinder Volume Calculations

Example 1: A cylinder with radius 5 cm and height 10 cm

Volume = π × 5² × 10
Volume = π × 25 × 10
Volume = π × 250
Volume ≈ 785.40 cm³

Example 2: A water tank with radius 1.5 m and height 3 m

Volume = π × 1.5² × 3
Volume = π × 2.25 × 3
Volume = π × 6.75
Volume ≈ 21.21 m³

Frequently Asked Questions

  • Is the Cylinder Volume Calculator free ?

    Yes, Cylinder Volume Calculator is totally free :)

  • Can i use the Cylinder Volume Calculator offline ?

    Yes, you can install the webapp as PWA.

  • Is it safe to use Cylinder Volume Calculator ?

    Yes, any data related to Cylinder Volume Calculator only stored in your browser(if storage required). You can simply clear browser cache to clear all the stored data. We do not store any data on server.

  • What is the formula for calculating a cylinder's volume?

    The formula for calculating a cylinder's volume is: Volume = π × r² × h, where r is the radius of the circular base, h is the height of the cylinder, and π (pi) is approximately 3.14159. This formula gives the amount of space enclosed by the cylinder.

  • What is a cylinder?

    A cylinder is a three-dimensional geometric shape with two parallel circular bases connected by a curved surface. It's like a can or a tube with circular ends. The distance between the two circular bases is called the height, and the radius of the circular bases determines the width of the cylinder.

  • How do I find the radius if I know the diameter?

    The radius is half of the diameter. If you know the diameter (d), you can calculate the radius (r) using the formula: r = d/2. For example, if the diameter is 10 cm, the radius is 5 cm.

  • What units are used for cylinder volume?

    Cylinder volume is measured in cubic units, such as cubic centimeters (cm³), cubic meters (m³), cubic inches (in³), or cubic feet (ft³). The unit depends on the units used for the radius and height. For example, if radius and height are in centimeters, the volume will be in cubic centimeters.

  • What is the value of π (pi)?

    π (pi) is a mathematical constant representing the ratio of a circle's circumference to its diameter. It's approximately equal to 3.14159, though it's an irrational number with an infinite decimal representation. For most calculations, using 3.14159 or 3.14 provides sufficient accuracy.

  • How can I calculate the volume of a cylinder in real-world applications?

    To calculate the volume of a cylinder in real-world applications: 1) Measure the radius (or diameter) of the circular base, 2) Measure the height of the cylinder, 3) Use the formula V = π × r² × h, ensuring all measurements use the same unit system. This is useful for calculating the capacity of containers, tanks, pipes, or any cylindrical objects.