Cylinder Area and volume Calculator

Online Cylinder Area and volume Calculator: Calculate the volume and area of a Cylinder based on its height and r the radius.Enter two unknowns in the form and press the CALCULATE button.

Table of contents:

What is a Cylinder?

Cylinders are round bodies composed of two circular and parallel bases and a rectangle or a parallelogram which serves as a side face.

In fact, the nature of the side face will change whether the cylinder is straight or oblique.

The characteristics of the cylinders

Like prisms, the cylinder is made up of two bases, but the latter are not polygons, they are circles. In addition, the cylinder has other characteristics which are essential to its definition.

The two bases are isometric circles

The bases are parallel

Its side face is usually made up of a rectangle or a parallelogram.

Calculate the area of the cylinder bases

According to its construction and its definition, the area of the bases of a cylinder will always be calculated according to the disks which define them. Besides, there is already a formula to calculate the area of this flat figure.

The area A of a Cylinder base equal to:

Ab = πr² where r = measure of the radius

Depending on the context, it will be necessary to consider one or both bases of the cylinder.

Calculate the lateral area of the cylinder

Based on the development of the cylinder, we can deduce that the side face is in fact a rectangle which surrounds each of the circular bases.

The lateral area of the cylinder equal to:

Al = 2.π.r.h where:

r = radius of the base

h = cylinder height

Calculate the total area of the cylinder

As in the majority of concepts where the notion of totality is involved, it is necessary to add the area of the bases Ab and the lateral area Al of the solid studied to find its total area.

AT = 2.Ab + Al

Calculate the volume of the cylinder

The volume of a cylinder corresponds to space it occupies in its environment. Even if this solid is not part of the family of prisms, its formula for calculating its volume is the same as this.

V = πr² × h where:

h = height of the cylinder

r = radius of the base