# Volume of a cylinder

 Volume V = π x r² x h

with π (number pi) approximately equal to 3.14
Height = h

## Example

Calculate the volume of a cylinder with radius r = 3 cm and height h = 9 cm
Volume V of the cylinder = π x r² x h ≈ 3.14 x 3² x 9 ≈ 254.34 cm3

## Calculate the volume of a cylinder

 Radius Height Volume of the cylinder

## Definition of a cylinder

A cylinder is a three-dimensional solid that contains two parallel bases connected by a curved surface.
A cylinder has two parallel circular bases and a curved surface.
A cylinder has a lateral surface and two bases. The bases are parallel and identical. They are generally circular. A cylinder has three faces : two circular and a rectangular one. It is a round object with two circles on each end that have the same size.
The cylinder of revolution is the surface generated by the revolution of a line parallel to an axis, around this axis.
A right circular cylinder can also be thought of as the solid of revolution generated by rotating a rectangle about one of its sides.

A cylinder is a solid object with :
- two identical flat ends that are circular or elliptical
- one curved side
A cylinder has the same cross-section from one end to the other.

## To go further

The bases are always congruent and parallel to each other.
The radius r of a cylinder is the radius of a base.
The height h is the perpendicular distance between the bases.

A cylinder is a right circular prism. Furthermore a cylinder is a solid object with two identical flat circular ends and a curved rectangular side. Finally, like other prisms, the volume of a cylinder can be obtained by multiplying height by base area.

π (pi) is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal π (pi). In addition, the value of π (pi) is approximately 3.14 in decimal form.

## Volume of a cylinder formula

The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder.
The formula for the volume of a cylinder is V = π x r² x h, with r = radius and h = height of the cylinder.
Volume is the amount of space a 3-dimensional figure occupies.