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5. The sphere - Maria Judith Ruiz
Contribuido por: Del Espacio
Fase 4 - Aplicar los conocimientos sobre los cilindros, conos y esferas
Geometría del Espacio - Grupo: 551122_11


Tutor: Diego Leandro Leon
Noviembre de 2020
Maria Judith Ruiz
Geometrical body of revolution formed by rotating a semicircle around its diameter.
THE SPHERE
EXAMPLES
Maximum circumference: Circumference drawn on the sphere and whose center is the same center of the sphere.
SPHERE ELEMENTS
Rotating axis: Line where the diameter of the semicircle is located.
Center: Interior point equidistant from any point on the sphere.
Diameter: Line segment that passes 
through the center (rotating axis) 
of the sphere and joins two opposite 
points located on its surface.
Radius: Distance from the center to 
a point on the sphere.
Area of the sphere: 
Surface that surrounds 
this solid of revolution.
Volume of the sphere: It is the space that the sphere occupies, or thefilling capacity it has. 
AREA AND VOLUME OF THE SPHERE

Ana wants to give her classmates a ball of chocolate for “love and

 friendship”. She has a mold to make the balls that has 2 cm of

 radius. She needs to know with how much melted chocolate she

 must fill the mold to make a sphere or chocolate ball. After making 

the balls, she wants to wrap them in foil without wasting it. 

How much foil does she need in order to wrap a ball?

MATH PROBLEM
To find out how much chocolate is needed to fully fill the mold, 
we calculate the volume as follows:
And to know how much paper we need to wrap a ball without wasting it we calculate the area:
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