Geometric figures, the Cylinder

Geometric figures, the Cylinder

What is a cylinder?

a cylinder is a geometric body that consists of a round support and cover and a curved and closed lateral surface on these two circles

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

Formulas used in calculating cylinder data:

• Lateral area of ​​the cylinder:  $A_L=2\pi*r*h$  where "r" = radius of the base and "h" the height of the cylinder
  

• Total area of ​​the cylinder:  $A_T=2\pi*r*h+2\pi*r^2$   where "r" = radius of the base and "h" the height of the cylinder

• Volume of the cylinder: , $V=2\pi*r^2*h$   where "r" = radius of the base and "h" the height of the cylinder.

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Cylinder types

• Right circular cylinder

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

• Oblique circular cylinder

  If the axis is not perpendicular to the bases.

  
  

Multiple Choice

A cylinder has a radius of 50 cm and a height of 150 cm. Find its total surface area and its volume. 

•  $2,0m^3$  

•  $1,18m^2$ 

•  $1,18m^3$  

•  $118\ cm^3$  

Multiple Choice

The diameter of the base of a cylinder is 20 cm and the height is 80 cm. Find the surface area of the solid cylinder.

• $5027cm^2$

• $5655\ cm^2$

• $5132\ cm^{ }$

• $5727\ cm^2$