Overview
A cylinder has two parallel congruent circular bases and a curved lateral surface around its axis. Its volume is the base area times the height, and its total surface area adds both bases to the lateral area.
Formula
Volume = πr²h, lateral area = 2πrh, total area = 2πr(r + h).
How it works
Enter the radius
The radius of the circular base.
Enter the height
The perpendicular distance between the bases.
Compute the volume
Multiply the base area by the height.
Compute the areas
Find the lateral area, then add both bases.
Worked examples
Example 1: radius 3 and height 5
Volume ≈ 141.3717, total area ≈ 150.7964.
Example 2: radius 2 and height 10
Volume ≈ 125.6637, total area ≈ 150.7964.
Frequently asked questions
Are the bases congruent?
Yes. In a right cylinder both bases are congruent circles.
What is the difference between lateral and total area?
Lateral area covers only the curved surface, while total area adds both bases.
How do I get volume in liters?
Use dimensions in centimeters, giving cubic centimeters, then divide by 1000 to get liters.
This calculator is for educational and informational purposes only and is not a substitute for professional advice.