The solid enclosed by the cylinder [itex]x^2 + y^2 = 9[/itex] and the planes y + z = 5 and z=1.(adsbygoogle = window.adsbygoogle || []).push({});

The biggest part for me (usually) is just being able to find my limits of integration for these problems (any suggestions about that would also be greatly appreciated). I think I found the correct limits for this problem...

[tex]

\iiint dV

[/tex]

[tex]

\int_{-3}^3 \int_{-\sqrt{9-x^2}}^{\sqrt{9-x^2}} \int_{1}^{5-y} dzdydx

[/tex]

[tex]

\int_{-3}^3 \int_{-\sqrt{9-x^2}}^{\sqrt{9-x^2}} (4-y) dydx

[/tex]

At this point I start to get lost. Should I switch it to polar coordinates? I tried to do that from the last step above and it came out wrong. Here's my first step into the polar coordinate switch...

[tex]

\int_0^{2\pi} \int_0^1 (4-rsin\theta)rdrd\theta

[/tex]

Does this look like I'm headed in the right direction? This chapter is completely confusing me.

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# Homework Help: Volume via Triple Integrals.

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