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hitemup
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Homework Statement
Evaluate
[tex]\int \int \int _R (x^2+y^2+z^2)dV[/tex]
where R is the cylinder
[itex]0\leq x^2+y^2\leq a^2[/itex],
[itex]0\leq z\leq h[/itex]
Homework Equations
[/B]
[tex]x = Rsin\phi cos\theta[/tex]
[tex]y = Rsin\phi sin\theta[/tex]
[tex]z = Rcos\phi[/tex]
The Attempt at a Solution
[/B]
[tex]2*\int_{0}^{\pi/2}d\phi \int_{0}^{2\pi}d\theta \int_{0}^{h/cos\phi}dR R^4sin\phi [/tex]
Are the bounds correct?
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