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Sphere

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Sphere

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A sphere is a geometric body generated by a semicircle that rotates around one of its diameters. It can also be defined as the geometric body limited by a surface whose points are equidistant from a point called the center. The distance from the center to the surface is called the radius (r). Carpinteyro Vigil, E. (2018).

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About Slideshow
mathematics
7º - Secundaria
sphere
solid figures
solid figures
 Recommended age: 11 years old
2 times made

Created by

anyely vanessa leudo
anyely vanessa leudo
Colombia

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SphereOnline version

A sphere is a geometric body generated by a semicircle that rotates around one of its diameters. It can also be defined as the geometric body limited by a surface whose points are equidistant from a point called the center. The distance from the center to the surface is called the radius (r). Carpinteyro Vigil, E. (2018).

by anyely vanessa leudo
1

Sphere




SOLID FIGURES:

   THE SPHERE 


2

Sphere

                                  sphere


A sphere is a geometric body generated by a semicircle that rotates around one of its diameters. It can also be defined as the geometric body limited by a surface whose points are equidistant from a point called the center. The distance from the center to the surface is called the radius (r). Carpinteyro Vigil, E. (2018).

 

That is, the sphere is a body or solid of revolution, since it can be obtained by rotating a figure or flat surface around an axis. These types of figures are distinguished by not having flat faces, like a polygon, but a curved surface. (Westreicher, December 22, 2020)

3

Area



Area of spheres The area of a sphere ( is given by: 

4

Area



Area of spheres The area of a sphere ( is given by: 

5

Volume

Volume of spheres The volume of a sphere () is given by
6

Sphere elements

Axis: It is the imaginary line on which the semicircle that forms the sphere rotates.

Center: It is the equidistant point to any point of the contour of the sphere, that is, of the spherical surface.

Radius (Segment AD): It is the distance between the center and any point of the spherical surface.

Chord: It is the segment that joins any two points of the spherical surface.

Diameter (Segment BC): It is that string that has the peculiarity of passing through the center of the sphere. Its length is twice the radius.

Axis: It is the imaginary line with respect to which the semicircle that forms the sphere rotates.

Meridians: They are the circumferences that are obtained by cutting the sphere with planes that house the axis.

Parallels: They are the circumferences resulting from cutting the sphere with planes that are perpendicular to the axis (that cut the axis forming an angle of 90º).

Ecuador: It is the circumference obtained by cutting the sphere with a plane perpendicular to the axis and which, in turn, contains the center of the figure. It can also be defined as the parallel with the greatest length.

Poles (Point B and Point C): These are the points of the axis located at the top and bottom of the spherical surface.

(Westreicher, December 22, 2020)

7

Exercise.

                          Exercise.

The community board of the El Salto neighborhood wants to fill water containers that are shaped like spheres for each house, to reduce the water shortage that occurs.

Each container is 2cm

How much water would they give per house?

8

Quiz

 
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