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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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