#calc 3: triple integrals

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rich sentinel
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so the x-part goes from 0 to 3, the z part goes from 0 to $\sqrt{9-y^2}$ and the y part goes from 0 to $\frac{y}{3}$ (the reason y it's dx dz dy instead of dx dy dz is because it's essentially a circle being projected onto the yz plane) and I trust u to go through this for urself and get an answer in the end

fast gazelleBOT
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madlad-mathemagician

rich sentinel
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$\int_{0}^{3} \int_{0}^{\sqrt{9-y^2}} \int_{0}^{\frac{y}{3}} dx dz dy$

fast gazelleBOT
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madlad-mathemagician