Volume Of A Cylinder Formula

A cylinder is a three-dimensional geometric shape having two parallel circular bases connected by a curved surface at a fixed distance from the center of the bases. It has its top and bottom base in a parallel direction with the same axis.

It is calculated by the formula, where r is the radius of the circular base and h is the height of the cylinder. The base area is calculated by the formula for the area of a circle which is,         This area is multiplied by the height to determine the volume of the total cylinder. Thus, a cylinder with a radius of 3 cm and a height of 5 cm can be said to have a volume of about 141.37 cm³. The volume of a cylinder comes very much in handy in real life as it gives insights into many aspects including engineering, architecture, and many more, for instance the volume of liquid a container can have.

Formula For Volume Of Cylinder

Volume of a cylinder is given as,

                                   

Where:

• V = Volume of the cylinder.

• r = Radius of the circular base.

• h = Height of the cylinder

• π (Pi) ≈ 3.14159                                 

Volume of a Cylinder Derivation

We said a cylinder is nothing but an assemblage of circular discs stacked one above the other. So if we calculate the space occupied by each of these discs and add them up, what we get is the volume of the cylinder.

Let us assume that the circular discs are arranged on one another up to the height of 'h'. Now, the volume of the cylinder will be the product of the base area of the discs and the height 'h'.

Volume of the cylinder = Area of the circular base × Height

Area of the circular base = 

Height = h

Therefore, the volume of the cylinder with height 'h' and radius of the base 'r' is expressed as     .

 

∴ Volume of a Cylinder =

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