
Geometric figures, the Cylinder
Presentation
•
Mathematics
•
1st - 3rd Grade
•
Medium
Carlos Uisa
Used 5+ times
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4 Slides • 2 Questions
1
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
2
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
3
Formulas used in calculating cylinder data:
Lateral area of the cylinder: AL=2π∗r∗h where "r" = radius of the base and "h" the height of the cylinder
Total area of the cylinder: AT=2π∗r∗h+2π∗r2 where "r" = radius of the base and "h" the height of the cylinder
Volume of the cylinder: , V=2π∗r2∗h where "r" = radius of the base and "h" the height of the cylinder.
4
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.
5
Multiple Choice
A cylinder has a radius of 50 cm and a height of 150 cm. Find its total surface area and its volume.
2,0m3
1,18m2
1,18m3
118 cm3
6
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.
5027cm2
5655 cm2
5132 cm
5727 cm2
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
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