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the sphere

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the sphere

Slideshow

The armillary sphere, a reduced model of the cosmos from the terrestrial perspective, is an astronomical instrument used in Antiquity and the Middle Ages to determine the position of the celestial bodies. ... Later, its use was limited to the teaching of astronomy and navigation

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About Slideshow
mathematics
4º - Primaria
geometric
solidos
 Recommended age: 8 years old
4 times made

Created by

Anguie Saen
Anguie Saen
Colombia

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the sphereOnline version

The armillary sphere, a reduced model of the cosmos from the terrestrial perspective, is an astronomical instrument used in Antiquity and the Middle Ages to determine the position of the celestial bodies. ... Later, its use was limited to the teaching of astronomy and navigation

by Anguie Saen
1

the elements the sphere

he elements of a sphere are as follows: Center: is the point from which all the points on the surface of the sphere (O) are equidistant. Radius: distance from the center of the sphere to any of its points (r). Chord: segment that joins any two points on the spherical surface. Diameter: A chord that passes through the center of the sphere (D). Its length is twice the radius. Axis: line on which the generating semicircle rotates (or on which the generating semicircle rotates, from the point of view of the spherical surface). Poles: The two points where the axis passes through the spherical surface (P1 and P2). Meridians: circumferences on the spherical surface resulting from the cut of any plane that passes through the axis. Otherwise, planes that pass through the two poles. Parallel: resulting circumferences on the spherical surface of the cut of the planes perpendicular to the axis. Ecuador: the parallel of maximum length. Cuts the axis in the center of the sphere.
2

SPHERE AREA AND VOLUMEN

3

SPHERE PROBLEM

IN DONE VIVO THERE IS A SPHERE THAT OBSTACULATES THE PASSAGE IN THE ENTRANCE TO BE ABLE TO CUT AND REMOVE IT, YOU MUST FIND THE VOLUME OF THE SPHERE MEASURING 18 CM IN DIAMETER

SOLUTION 

Volume = 4 / 3π · r³ 

Where: π: is a constant with a numerical value 3.1416 ... r: is the radius of the sphere. The radius is half the diameter: radius = diameter / 2 radius = 18/2 cm radius = 9 cm The volume of the sphere is then: Volume = 4 / 3π · (9 cm) ³ Volume = 4 / 3π81cm³ Volume = 108π cm³ Volume = 339.30 cm³}

answer

el volumen de la esfera es: 339.30 cm³ por lo tanto se debe cortar a esta medidapara poderla retirar 

4

sphere image

5

exercise

In the park of my neighborhood They have built a historical monument in a spherical shape. I would like to find the area and the volume of said monument if the diameter is 70 cmsolutionData: Diameter = 70 cm  1. Find the radius of the sphere taking into account that the diameter is twice the radius:  D = 2r r = D / 2 r = 70 cm / 2 r = 35 cm  2. Find the volume of the sphere:  V = (4/3) πr³ V = (4/3) π (35 cm) ³  V = 179594.38 cm³  therefore the volume is 179594.38 cubic centimeters.
 
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