How this calculation works
The cylinder is assumed to have circular ends and a perpendicular height. Total surface area includes both end faces.
Volume = πr²h; total surface area = 2πr(r + h)A worked example
A radius of 3 and height of 10 gives a volume of approximately 282.743339 cubic units.
Good to know
Uses the stated formula and assumptions. Displayed decimal values are rounded; use consistent units for all inputs.
Height doubles volume, but radius can quadruple it
With radius fixed, doubling height doubles a cylinder’s volume. With height fixed, doubling radius quadruples volume because the base area contains r². Distinguishing those changes is helpful when comparing container dimensions.
The total surface area is the curved wall plus two circular ends. Unrolling the curved wall gives a rectangle whose width is the circumference, 2πr, and whose height is the cylinder height.
Check whether you need open or closed surface area
The displayed total includes both end faces. An open-top container would omit one circular end; a pipe’s material surface and volume need inner dimensions as well. This simple cylinder model does not infer those details.
Use perpendicular height and a true circular cross-section. An inclined or irregular container can require a different geometry, especially if only partially filled.
A few questions, answered
Does it calculate the amount of liquid in a partly filled tank?
No. It returns full geometric volume from radius and height.
Can I enter diameter instead?
Divide the diameter by two to obtain the radius first.