Cylinder Volume Calculator
Enter a radius and height to get a cylinder's volume and surface area.
Volume
62.8319
Volume = π × r² × h. A radius of 2 and height of 5 hold about 62.83 cubic units.
Surface area
87.9646
How it works
Picture a cylinder as a stack of identical circles. Its volume is just the area of one circular end multiplied by how tall the stack is.
That gives volume = π × r² × h. A cylinder with radius 2 and height 5 holds about 62.83 cubic units. Surface area adds the two circular ends to the wall that wraps around: 2 × π × r × (r + h), which comes to roughly 87.96 here.
Change the radius or the height and both numbers refresh right away. Perfect for cans, pipes, tanks, and mugs. Results round to four decimals after carrying π at full precision.
Frequently asked questions
Does the surface area include the top and bottom?
It does. The figure here is the total surface area — the curved side plus both circular caps. If you only need the wall, that part alone is 2 × π × r × h.
What if my cylinder is lying on its side?
Orientation doesn't change the math. The radius is still the radius of the circular end and the height is the distance between the two ends, whichever way the cylinder is pointing.
Can I use the diameter instead of the radius?
Not directly — halve it first. A pipe 10 across has a radius of 5, so enter 5. Feeding the diameter straight in would overstate the volume fourfold.