# The Simplest Way of Calculating the Volume of a Cylinder

The following piece of writing presents the formula derivation of a cylinder's volume, and it's calculation.

Arjun Kulkarni

Last Updated: Aug 30, 2018

Equation for the Volume

Volume can be simply defined as the space occupied by a 3D object. Often, we need to know how much of a solid, liquid, or gaseous matter can be placed within a container. If you want to find out how much soda can be stored in a can, you need to find out the volume of the can. Hence volume calculations are important in our day-to-day lives.

^{2}h,

where "r" is the radius of the two circles on each side of the cylinder, and "h" is the cylinder's height.

Calculations

Example: You have a cylinder whose radius is 10 in and height is 14 in. Simply substitute the values in the formula:

The unit for denoting the volume is written as the cube of the measured units. Here, both measurements are in inches, the volume unit will be "in

πr

V= 22/7 * 10

V= 4400 inπr

^{2}hV= 22/7 * 10

^{2}* 14V= 4400 in

^{3}.The unit for denoting the volume is written as the cube of the measured units. Here, both measurements are in inches, the volume unit will be "in

^{3}or cubic inches".4400 in

^{3}/231

= 19.0476 gallons.

This means that a cylinder that has a radius of 10 inches and a height of 14 inches, will hold approximately 19 gallons of a liquid.