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The cylinder

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The cylinder

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About this activity

It is a geometric body that is formed by a rectangle that rotates around one of its sides. 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.

Created by

Marleny Martínez Meza
Marleny Martínez Meza
Colombia

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The cylinder
 

The cylinderOnline version

It is a geometric body that is formed by a rectangle that rotates around one of its sides. 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.

by Marleny Martínez Meza
1

Definition

It is a geometric body that is formed by a rectangle that rotates around one of its sides. 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.
2

The cylinder and its parts

3

Cylinder area

The area of a right circular cylinder of radius r is  the sum of the area of the bases and the area of the lateral surface. If the bases are circular, their area is:

4

Cylinder volume

The volume of a cylinder is the product of the area of the bases for the height of the cylinder.
The volume of a cylinder (straight or oblique) with a circular base is:

5

Area and volume cylinder

QR
6

Exercise

A cylindrical container with a radius of 100 cm and a height of 50 cm is filled with water to provide the upper part of the sidewalk. If the mass of the filled container is 40 kg, what is the mass of the empty container?

7

Find the area

Camila finds a cylinder on the farm and wants to calculate its area. The cylinder has a radius of 6 cm and a height of 90 mm. Which is the area?

8

Find the volume

A cylindrical container is used to transport water in summer time. Find its volume, which is 10 cm in radius and 90 mm in height.
 
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