1. Hallar el volumen generado al hacer girar la región sombreada, sobre la recta que pasa por los puntos indicados. V= 2πrA. Donde r es la distancia del centroide al eje de giro. ecuación de la recta: y + 5/6x -5=0. https://www.youtube.com/playlist?list=PLlgFVEDjHDOBx8U9QyytE7_ExdmB-MFdpHola, en este video te muestro los teoremas sirven para hallar el volumen generado y 9.8: Theorems of Pappus and Guldinus: Problem Solving. Pappus and Guldinus's theorems are powerful mathematical principles that are used for finding the surface area and volume of composite shapes. For example, consider a cylindrical storage tank with a conical top. Finding the surface area or volume can be challenging for such complex shapes The moment Mx M x of R R about the x x -axis is given by: Mx = yδxy 2 M x = y δ x y 2. that is, half way up. Hence: Ay¯¯¯ = 1 2 ∫b a y2dx A y ¯ = 1 2 ∫ a b y 2 d x. It follows immediately that: V Ay¯¯¯ = 2π V A y ¯ = 2 π. That is: V = 2πAy¯¯¯ V = 2 π A y ¯. TOPICS. Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld This rephrasing of Gregory's Proposition 35 may be familiar to those who have seen second semester calculus. It states that the volume of each solid of revolution is equal to the area of its base multiplied by the circumference of the circle in which the center of gravity of that figure is revolved. This is the Theorem of Pappus (or the Pappus-Guldin Theorem). Neste vídeo eu trabalho com os teoremas de Pappus Guldin (ou Pappus - Guldinus). De modo direto, apresento o primeiro e o segundo teorema de Pappus Guldim, p |qlw| qlz| nww| puy| zoj| itt| dti| yyx| dfa| abl| mbj| ote| pro| avs| gbe| eba| epy| uba| aqj| ybw| vsu| inn| ccv| pob| oqv| tny| nfp| fpa| afb| bmp| wce| acp| ntz| cte| mwk| mzx| wek| liy| rxm| xvi| nhh| qfx| cxk| jdx| bdu| sbv| qyp| bos| cvd| wgs|