Posted by **shylo** on Thursday, December 3, 2009 at 10:01am.

Hi there I am having some troubles trying to do my calculus homework and I really need help trying to do this problem from my homework:

Set up the problem and do not solve: The mass of the solid bounded by the surfaces 2x^2 + 2y^2= 9, z=0, z=3 with density function p(x,y)= x^2z. (Use Cylindrical Coordinates)

Please help me with this problem and shoe some steps how to set it up.

- Calculus -
**drwls**, Thursday, December 3, 2009 at 11:05am
Cylindrical coordinates are: r, theta, and z. The differential volume element is dV = r dtheta dr rz.

The curved cylinder boundary is the circle 2r^2 = 9, r = 3/sqrt2.

The volume interval for the mass is:

3-2pi-3/sqrt2

S..S..S..r^3 z cos^2(theta)d(theta)dr dz

0--0--0

I have substituted r cos theta for x.

The S's are supposed to be integral signs. The top and bottom rows show tihe integration limits

## Answer this Question

## Related Questions

- AP Physic - Hi there I am having a lot of trouble trying to figure out this ...
- Math subject Calculus - Hi there I am having some difficulties to solve this ...
- AP Physic - Hi there I am having so much problems trying to solve this physic ...
- Calculus - Hello, I really need help on these two homework problem. >< In ...
- Calculus - Hi there i am having some problems trying to do my calculus homework...
- Math - The following are the last two problems on my test review. I am trying to...
- Calculus - So I'm trying to do my homework on L'Hopital's rule. There's this one...
- Algebra - Can someone please tell me how to solve this problem? Trying to help a...
- Algenra - How do I work this problem, it is not a homework problem but a problem...
- Algebra - How do I work this problem, it is not a homework problem but a problem...