Cylinder Volume Calculator
Enter a cylinder's radius and height to find its volume, lateral surface area, total surface area and base area using the exact geometry formulas.
How to find the volume of a cylinder
- Enter the base radius of the cylinder.
- Enter the height of the cylinder.
- Read the volume and the surface areas instantly.
Examples
Radius 2, height 5
radius = 2, height = 5
volume = 62.832, lateral area = 62.832, total area = 87.965
Unit cylinder
radius = 1, height = 1
volume = 3.141593, total area = 12.566371
Frequently asked questions
What is the formula for the volume of a cylinder?
The volume equals pi times the radius squared times the height. It is simply the area of the circular base multiplied by the height.
What is the lateral area of a cylinder?
The lateral area is the curved side without the two ends. It equals two times pi times the radius times the height.
How is the total surface area found?
Add the lateral area to the two circular ends. This gives two times pi times the radius times the sum of the radius and the height.
Why are the volume and lateral area equal for radius 2 and height 5?
Both reduce to twenty pi for those numbers. It is a coincidence of the chosen values, not a general rule for cylinders.
What units does this use?
It is unit free. Enter the radius and height in the same unit and the volume is in cubic units and the areas in square units.
Related tools
Volume Calculator
Find the volume of a cube, box, sphere, cylinder, cone, pyramid, ellipsoid or capsule. Enter the dimensions and get the volume and surface area instantly.
Circle Calculator
Enter any one circle property and get the radius, diameter, circumference and area instantly. Free, accurate and runs in your browser.
Sphere Volume Calculator
Calculate the volume and surface area of a sphere from its radius. Also returns diameter and great-circle circumference. Free, accurate and instant.
Cone Volume Calculator
Calculate the volume and surface area of a cone from its radius and height. Returns slant height, lateral area and total area. Free, accurate and instant.
Annulus Area Calculator
Calculate the area of an annulus, the ring between two concentric circles, from its outer and inner radius. Returns both circumferences and width too. Free.
Area Calculator
Find the area of a circle, square, rectangle, triangle, trapezoid, parallelogram, ellipse, sector or rhombus. Free and runs in your browser.