Cylinder Volume Calculator – Find Volume & Surface Area Instantly
The cylinder volume calculator helps you quickly determine the volume and surface area of any cylinder by entering its radius and height. Whether you're working on a school project, engineering task, or everyday measurement problem, this free tool delivers instant and accurate results. Simply input your dimensions and choose your preferred unit to get started.
The radius is half the diameter of the circular base.
The perpendicular distance between the two circular bases.
Your results will appear here
How to Use This Calculator
1. Enter the radius of the cylinder's circular base in the Radius field. If you only know the diameter, divide it by 2 first. 2. Enter the height (the distance between the two circular ends) in the Height field. 3. Select your preferred unit of measurement from the dropdown menu (cm, m, inches, feet, mm, or yards). 4. The calculator will instantly display the cylinder's volume, lateral surface area, total surface area, base area, and diameter in your chosen units.
How to Calculate Cylinder Volume
The volume of a cylinder is the amount of three-dimensional space it occupies. It is calculated using the formula:
Volume = π × r² × h
Where r is the radius of the circular base and h is the height of the cylinder. The constant π (pi) is approximately 3.14159.
Surface Area Formulas
Base Area
Each circular base has an area of:
Base Area = π × r²
Lateral Surface Area
The lateral (side) surface area is the area of the curved surface that wraps around the cylinder, calculated as:
Lateral Surface Area = 2 × π × r × h
Total Surface Area
The total surface area includes both circular bases and the lateral surface:
Total Surface Area = 2 × π × r × h + 2 × π × r²
Real-World Applications
- Calculating the capacity of tanks, pipes, and containers
- Determining paint or material needed to cover a cylindrical surface
- Engineering and manufacturing design calculations
- Cooking and recipe scaling (e.g., cylindrical cake pans)
- Packaging and shipping volume estimation
Tips for Accurate Measurement
Always measure the radius as half of the full width (diameter) of the circular base. Ensure your radius and height are in the same unit before entering them into the calculator. Double-check measurements with a ruler or tape measure for best accuracy.