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Re: [obm-l] Usando integral II

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Subject: Re: [obm-l] Usando integral II
From: Danilo Nascimento <souza_danilo@xxxxxxxxxxxx>
Date: Sun, 29 Jan 2006 18:41:07 -0300 (ART)
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Nao precisa nem recorrer a calculo nesse caso. Use Pappus-Guldin. Veja

V=2piSd, S=area e d = distancia do eixo ao centro geometrico.

onde S = ah/2

d=a/3

logo V=2pi*ah/2*a/3 = 1/3pi*r^2h ◙

Alexandre Bastos <alexandreobm@yahoo.com.br> escreveu:

2.) Deduza a fórmula do volume de um cone circular reto de altura ' h' e raio da base ' a', rotacionando a região limitada pelo triângulo retângulo em torno de um dos catetos.

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References:
- [obm-l] Usando integral II
  - From: Alexandre Bastos

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