Cylinder diameter (* d*) in

**mm**(millimeters):

Cylinder height (* h*) in

**mm**(millimeters):

The volume of a cylinder * V* is:

^{3}

^{3}

^{3}

## How to calculate the volume of a cylinder?

The volume of the cylinder is determined by the formula:

* V=h*Π*d^{2}/4*, где

* h* – cylinder height (cylinder length);

* Π = 3.1415926535 – *mathematical constant equal to the ratio of the circumference of a circle to its diameter;

* d *– cylinder base diameter.

The volume of a cylinder is equal to the area of the base (circle) times the height of the cylinder.

If the diameter and height of the cylinder are measured in mm (millimeters), then the volume of the cylinder is:

in cubic millimeters (mm^{3}):

**V**_{mm3}**= h**_{mm}***Π*d**_{mm}^{2}**/4**

in cubic centimeters (cm^{3}):

**V**_{с}_{m3}**=(h**_{mm}***Π*d**_{mm}^{2}**/4)/1**** 000**

in cubic meters (m^{3}):

**V**_{m3}**=(h**_{mm}***Π*d**_{mm}^{2}**/4)/1**** 000 000 000**

in liters (l):

**V**_{l}**=(h**_{mm}***Π*d**_{mm}^{2}**/4)/1**** 000 000**

For example:

*What is the volume of a cylinder with a diameter of 4 mm and a height of 7.2 mm?*

*Solution:*

**V**_{mm3 }**= h**_{mm}***Π*d**_{mm}^{2}**/4 **= 7.2*3.14159*4^{2}/4 = 90.48 mm^{3}

**V**_{с}_{m3 }**= (h**_{mm}***Π*d**_{mm}^{2}**/4)/1**** 000 **= (7.2*3.14159*4^{2})/1 000 = 0.090 cm^{3}

**V**_{m3 }**= (h**_{mm}***Π*d**_{mm}^{2}**/4)/1**** 000 000 000 **= (7.2*3.14159*4^{2})/1 000 000 000 = 0.000 000 09 m^{3}

**V**_{l }**= (h**_{mm}***Π*d**_{mm}^{2}**/4)/1**** 000 000 **= (7.2*3.14159*4^{2})/1 000 000 = 0.000 09 liters

Answer: The volume of a cylinder is *90.48 *mm^{3}