The formula for the volume, area around the cylinder and the entire cylinder

How to calculate the area and volume of a cylinder? Follow the article to know the formula to calculate the area around, the area of ​​the entire circle cylinder accurately and quickly!

1. What is cylinder?

A cylinder is a shape delimited by two circles of equal diameter and a cylindrical surface.

A circular cylinder is a cylinder that when rotating a rectangle around the fixed axis, you will have a circular cylinder.

2. The formula for calculating the area around, the area of ​​the entire cylinder

- Formula to calculate the area around

Meaning : The area around a cylinder only includes the area around, surrounding the cylinder, not including the area of ​​the two bases.

The formula for the area around is equal to the circumference of the base circle times the height.

Formula : Sxq = 2.π.rh

In which :

- r: Radius of the cylinder.

- h: Height connecting from bottom to top of cylinder.

- π = 3.14159265359

Here I will guide you to calculate the area around a circular cylinder through the following example.

Example : A round cylinder has base radius r = 5 cm, height h = 7cm. Calculate the area around the vertical cylinder.

Solution Instructions : The area around the cylinder: Ssq = 2.π.rh = 2π.5.7 = 70π = 219.8 (cm2).

- Formula to calculate the total area

Meaning : The total area is calculated as the size of all occupied space, including the surrounding area and the area of ​​the two circular bases.

The formula for the total area is equal to the surrounding area plus the area of ​​the two bases.

Formula : Stp = Sxq + 2.Stop = 2.π.r2 + 2.π.rh

In which :

- r: Radius of the cylinder.

- h: Height of cylinder.

- π = 3.14159265359

Here I will guide you to calculate the total area of ​​a circular cylinder through the following example.

Example : A round cylinder has base radius r = 4 cm, height h = 6cm. Calculate the total area of ​​the vertical cylinder.

Solution instruction : Stp = Sxq + 2.Stop = 2.π.r2 + 2.π.rh = 2.π.42 + 2.π.4.6 = 32π + 48π = 80π (cm2).

3. The formula for calculating the volume of a cylinder

Meaning : The volume of a cylinder is the amount of space it occupies.

The formula for calculating the cylindrical volume is equal to the area of ​​the base times the height.

Formula : V = π.r2.h.

In which :

- r: Radius of the cylinder.

- h: Height connecting from bottom to top of cylinder.

- π = 3.14159265359

Here I will guide you to calculate the volume of a cylinder through the following example.

Example : A round cylinder has base radius r = 8cm, height h = 6cm. Calculate the surrounding area, the total area, and the volume of the cylinder.

Solution instruction : Volume of cylindrical block: V = π.r2.h = π.64.6 = 384π (cm3).

See also :

>>> Formula to calculate the area of ​​the triangle, complete and detailed triangle perimeter

>>> Formula to calculate the area of ​​a rectangle, perimeter of the rectangle exactly

>>> Equations to calculate the area of ​​a circle, the most complete circle's perimeter

The above article has provided some knowledge about cylinders, hopefully after consulting the article you will have a better understanding of cylinders as well as know how to calculate cylinders.

Thank you for following the article, see you in the next articles.