- #1

iamalexalright

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## Homework Statement

Been awhile since I've done them and my memory/reasoning isn't so great apparently...

Use the triple integral to find the volume of the given solid:

The solid enclosed by the cylinder

[tex]x^{2} + y^{2} = 9[/tex]

and the planes y + z = 16 and z = 1.

**2. The attempt at a solution**

Difficulty is always setting up the bounds of the integral...

[tex]-3 \leq y \leq 3[/tex]

[tex]1 \leq z \leq 16 - y[/tex]

having problems with the xwould it be:

[tex]-\sqrt{9 - y^{2}} \leq x \leq \sqrt{9 - y^{2}}[/tex] ?