(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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 x

would it be:

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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Triple Integral

**Physics Forums | Science Articles, Homework Help, Discussion**