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Volumen de Cuerpos Truncados

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Volumen de Cuerpos Truncados

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Quiz sobre frustums y volumen

Created by

La emotiza De Alex
La emotiza De Alex
Dominican Republic

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Volumen de Cuerpos Truncados
 

Volumen de Cuerpos TruncadosOnline version

Quiz sobre frustums y volumen

by La emotiza De Alex
1

¿Qué es un cuerpo truncado en geometría?

2

¿Cuál es la fórmula del volumen de un tronco de cono?

3

En la fórmula V = (1/3) π h (R^2 + Rr + r^2), ¿qué representa R y r?

4

Si h es la altura del tronco, ¿qué ocurre si h = 0?

5

¿Qué unidad de volumen es la típica en problemas de geometría?

6

Si R = 5 cm, r = 3 cm y h = 4 cm, ¿V aproximado?

7

¿Qué ocurre si el tronco proviene de un cono completo de altura H y radio R?

8

¿Qué condición debe cumplir el plano de corte para obtener un tronco de cono?

9

¿Qué relación hay entre el volumen de un tronco y el de la pirámide o cono original?

10

¿Qué describe mejor un tronco de cono en términos de áreas?

Explicación

Un plano paralelo a la base corta la parte superior, dejando dos bases paralelas y una franja lateral.

Se aplica el volumen de un cono completo restando el volumen del cono menor equivalente.

R ≥ r; R es la base mayor, r la base menor del tronco.

Una altura nula implica no hay volumen.

El volumen se expresa en unidades cúbicas.

V = (1/3)π*4*(25+15+9)= (4/3)π*49 ≈ 4.18879*49 ≈ 205.0? Check math: (1/3)*π*4*(49)= (4/3)*π*49 ≈ 4.18879*49 ≈ 205.3. Recalculate: 49*4.18879 ≈ 205.35 cm^3. Adjust to fit: Use 205 cm^3.

El tronco es la diferencia entre dos conos pareados.

El plano debe ser paralelo a la base para generar dos bases circulares paralelas.

Es la diferencia entre el volumen del sólido original y el frustre recortado.

Tiene dos bases circulares y una cara lateral curva.

 
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