New game
Download
SCORM download
To be used in an LMS (Moodle, Blackboard...)
Regular download
To be published on a website or blog.
Downloading games is an exclusive feature for users with an Academic Plan or a Commercial Plan.
Get your Academic Plan or your Commercial Plan now and start integrating your games into your LMS, website or blog.
Get Academic Plan
If you wish, you can download a demo game here and test its integration:
Share game
Slideshow
Slideshow

Cylinder explanation

Integrate it into your platform
G. Classroom M. Teams
You can integrate the game into an LMS compatible with LTI 1.1 or LTI 1.3 such as Canvas, Moodle, or Blackboard. This way, the scores will be automatically saved into the platform’s gradebook.
Download
You have exceeded the maximum number of games you can integrate into Google Classroom with your current Plan.

To integrate as many games as you want in Google Classroom, you need an Academic Plan or a Commercial Plan.

Get Academic Plan
You have exceeded the maximum number of games you can integrate into Microsoft Teams with your current Plan.

To integrate as many games as you want in Microsoft Teams, you need an Academic Plan or a Commercial Plan.

Get Academic Plan
Downloading games is an exclusive feature for users with an Academic Plan or a Commercial Plan.

Get your Academic Plan or your Commercial Plan now and start integrating your games into your LMS, website or blog.

If you wish, you can download a demo game here and test its integration:

Get Academic Plan

Cylinder explanation

Slideshow

Played 7
Create copy

About this activity

In the next
presentation we find the definition of the cylinder. In which you can identify your
elements. Also the formulas to find the volume and area of the cylinder.
Created by Monica Moreno Vargas

Created by

Geometria Del espacio
Geometria Del espacio
Colombia

Download the paper version to play

Make your own free game from our game creator
Make slideshow
Compete against your friends to see who gets the best score in this game
Make challenge

Top Games

 %
%
%
%
You have exceeded the maximum number of games you can print with your current Plan.

To print as many games as you want, you need an Academic Plan or a Commercial Plan.

Get Academic Plan
Print your game
 
game-icon

Cylinder explanation Online version

In the next presentation we find the definition of the cylinder. In which you can identify your elements. Also the formulas to find the volume and area of the cylinder. Created by Monica Moreno Vargas

by Geometria Del espacio
1

What is the cylinder?

A cylinder is a geometric body that is made up of a rectangle that rotates around one of its sides. In mathematics, it is also defined as the cylindrical surface that is formed when a line called the generatrix rotates around another parallel line, which we call the axis.

Cylinder typesThere are two types of cylinder:

Rectangular cylinder When the axis of the cylinder is perpendicular to the bases.

Oblique cylinder If the axis is not perpendicular to the bases. 

Fernandez.C.(2021).Cilindro: características, ejemplos y cómo calcular área y volumen. Recuperado de. https://www.smartick.es/blog/matematicas/geometria/cilindros/

2

What is the cylinder?

3

Cylinder elements

Axis:  It is the fixed side around which the rectangle rotates.

 Bases :  They are the circles that generate the sides perpendicular to the axis.

 Height :  It is the distance between the two bases.

 Generatrix :  It is the side opposite the axis, and it is the side that generates the cylinder. The generatrix of the cylinder is equal to the height. h = g

SuperProf.(2021).Que significa Cilindro en Matemáticas.[Pagina Web]https://www.superprof.es/diccionario/matem.aticas/geometria/cilindro.html

4

Area of a cylinder

How to calculate the area of ​​a cylinder?
 We must take into account the development of the cylinder and calculate the area of ​​its parts, that is, the rectangle and the two bases.
Area of ​​the rectangle = 2 × π × r × h
 Base area = π × r2
 
Adding everything we get the area = 2 × π × r × h + 2 × π × r2

Formula para calcular el area es:
Área = 2 × π  × r × ( h + r )

Fernandez. C.(2021). Cilindro: características, ejemplos y cómo calcular área y volumen. Recuperado de. https://www.smartick.es/blog/matematicas/geometria/cilindros/
5

Surface Area of a Cylinder

6

Example of cylinder area

Example of cylinder area

Calculate the area of ​​a cylinder with radius 3 cm and height 60 mm.

First, we must put both the radius and the height in the same units. So we have to change the height from millimeters to centimeters. If you want you can see our post on problems of conversion of measures of length that will help you refresh your memory to make the change of units.

60mm = 6cm

Now, we are going to calculate the area of ​​the rectangle that is equal to the lateral surface of the cylinder. As we had already indicated its formula before, we substitute it for the values ​​of the cylinder:

Area of ​​the rectangle = 2 × π × r × h2 × 3.14 × 3 × 6 = 113.04 cm²

Next, we have to calculate the area of ​​the bases, which is equal to the area of ​​a base but by 2. 

We take the formula that we had already indicated at the beginning and we also substitute the values:

Base area = 2 × π × r22 × 3.14 × 9 = 56.52 cm²

And to finish, we add the parts of the cylinder, that is, the lateral area that is the area of ​​the rectangle and the area of ​​the bases:

Cylinder area = 2 × π × r × h + 2 × π × r2113.04 + 56.52 = 169.56 cm²





Fernandez. C.(2021). Cilindro: características, ejemplos y cómo calcular área y volumen. Recuperado de. https://www.smartick.es/blog/matematicas/geometria/cilindros/

7

CYLINDER VOLUME

The volume is equal to the area of the base times the height, remember that we usually indicate the height with the letter "h". 

 Volume = π × r2 × h 





 Fernandez. C.(2021). Cilindro: características, ejemplos y cómo calcular área y volumen. Recuperado de. https://www.smartick.es/blog/matematicas/geometria/cilindros/

8

CYLINDER VOLUME

9

Cylinder volume example


Calculate the volume of a cylinder with radius 5 cm and height 60 mm.
As we have indicated before, we must put both the radius and the height in the same units. We change the height from millimeters to centimeters:
60mm = 6cm


To calculate the area of ​​the base we multiply the radius squared by π:


Base area = π × r2
3.14 × 25 = 78.50 cm²


And to find the volume of the cylinder we have to multiply the area of ​​the base by 6 cm which is what the height measures:
78.50 × 6 = 471 cm³
 To calculate this volume we have multiplied an area (square units) by a height (linear units), that is why we have obtained cubic units. 

Remember that the unit of measurement for volume in the International System of Units is the cubic meter (m³), although we have used cm³, which is a submultiple of it.


What we have calculated is valid whether the cylinder is straight or an oblique cylinder. 

Think about it, it is as if the tower of coins with which we represented an oblique cylinder were put straight, they would both have the same volume.


Fernandez. C.(2021). Cilindro: características, ejemplos y cómo calcular área y volumen. Recuperado de.

https://www.smartick.es/blog/matematicas/geometria/cilindros/


10

cylinders in everyday life

The cylinder Can Be Represented Easy In Everyday Life

 

example:

 Some Buildings Are Cylinder Shaped


 The coins


 Food and oil cans


 In Some Football Stadiums


 The candles


 Perforators


 Some Turbines and Motors