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Calcular El Area de Un Cono Truncado

Superficie de los cuerpos geométricos

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Description

Cono truncado

El c'ono tr unc a do o tr onc o de c'ono e s'e l'c ue r po ge om é tr ic o q ue re su l'ta a l'co rta r u n c'ono p o r un pla no pa ra le lo a la ba s'e y se p a ra r la pa rte q u e co n tie n e a l'vé rti ce

Elementos del cono truncado

La sección determinada por al corte es la ba se m e nor

La a ltur a es el se gm e nto que une perpendicularmente las dos bas e s'Los ra dios son los radios de sus bases

La ge ne r a tr iz es el segmento que une dos puntos del borde de las dos bases

Obtenemos la ge ne r a tr iz de l'c ono tr unc a do aplicando el te or em a de P it á gor a s'en el triángulo sombreado:

Área lateral de un cono truncado

Área de un cono truncado

Volumen de un cono truncado

E je m plos Ca l'c ul a r e l'á rea la te ra l',

e l'á rea to tal y e l'vol u me n de un tron co de co n o d'e ra di o s'6 y 2 cm,

Ca l'c ul a r el á rea l'a te ra l',

e l'áre a to tal y e l'vo l'u me n de l'tro n co d'e c'on o d'e ra di o s'1 2 y 10 cm,