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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.
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