Enter radius and height to calculate volume, surface area, and more.
A cylinder is a three-dimensional solid with two parallel circular bases connected by a curved surface. Common examples include cans, pipes, and drums. A cylinder has a consistent circular cross-section throughout its height.
The volume of a cylinder is the area of the base times the height:
V = Pi * r^2 * h
This can be thought of as stacking circular disks of area Pi*r^2 to height h.
The total surface area includes both circular bases and the lateral (curved) surface:
A_total = 2 * Pi * r^2 + 2 * Pi * r * h
= 2 * Pi * r * (r + h)
The area of just the curved side:
A_lateral = 2 * Pi * r * h
This is equivalent to a rectangle with width = circumference (2*Pi*r) and height = h.
A_base = Pi * r^2
Given radius = 5 units and height = 10 units:
Volume = Pi * 5^2 * 10
= Pi * 25 * 10
= 250 * Pi
= 785.4 cubic units
Lateral Area = 2 * Pi * 5 * 10
= 100 * Pi
= 314.16 square units
Total Surface Area = 2 * Pi * 5 * (5 + 10)
= 10 * Pi * 15
= 150 * Pi
= 471.24 square units
A pipe has radius 2 cm and length 50 cm. What is its internal volume?
V = Pi * 2^2 * 50 V = Pi * 4 * 50 V = 200 * Pi V = 628.32 cubic cm
Designing cans, containers, pipes, and cylindrical tanks.
Calculating material needed for pipes, hydraulic cylinders, and storage tanks.
Determining paint needed for cylindrical objects, water volume in tanks, or material for wrapping tubes.