Cálculo de volúmenes para sólidos regulares

Cálculo de volúmenes para sólidos regulares

 

Los sólidos regulares son aquellos materiales que poseen una forma geométrica establecida. Estos sólidos están formados por lados completamente definidos, con partes coherentes e iguales. Algunos ejemplos tenemos: cilindros, cubos, conos, tetraedros, poliedros, pirámides, paralelepipedo, entre otros. 

A continuación se resumirá algunos de los sólidos regulares más utilizados:
Imagen extraída de: http://cienciaytecnocsvf.blogspot.com/
 
Ejercicios Resueltos 
  1. ¿Qué volumen de ácido clorhídrico concentrado estará contenido en un recipiente cilíndrico de 2,6 m de radio y 5 m de altura?

Lo primero que debemos hacer es identificar el tipo de sólido con el cual se va a  trabajar. En este caso nos indica el problema que en un recipiente cilíndrico está contenido cierta cantidad de ácido, por lo tanto debemos utilizar la fórmula para calcular el volumen de dicho cilindro.

Resultado de imagen para cilindro

La fórmula es: V = π. r2. h

Donde:

V = volumen del cilindro

π = pi (3,1415)

r = radio = 2,6 m

h = altura = 5 m

Sustituyendo en la formula nos queda:

V = 3,1415 x (2,6m)2 x 5m

V = 3,1415 x 6,76 m2 x 5m

V = 106,18 m3

  1. Se sumerge una esfera sólida de 6 cm de radio en un cilindro graduado que contiene agua. Determinar el volumen del sólido.

Al leer detalladamente el problema, notamos que nos piden el volumen de una esfera que posee un radio de 6 cm.

Resultado de imagen para esfera

La fórmula para la esfera es la siguiente:


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El principio de Arquímedes: Cálculo de volúmenes por desplazamiento

 

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