A) Find the volume bounded by sphere rho=rt(6) and the paraboloid

z=x^2 + y^2

B) Locate the centroid of this region

Any help, tips, work, or similar problems would be greatly appreciated. =)

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- Nov 19th 2007, 05:11 PMnumberonenachoMultiple Integrals (Volume + Centroid)
A) Find the volume bounded by sphere rho=rt(6) and the paraboloid

z=x^2 + y^2

B) Locate the centroid of this region

Any help, tips, work, or similar problems would be greatly appreciated. =) - Nov 19th 2007, 05:29 PMThePerfectHacker
I start you off. The upper surface and the lower surface . When they intersect the region over we are integrating is the circle . Now use polar change of variable.

- Nov 20th 2007, 05:31 PMnumberonenacho
- Nov 20th 2007, 05:44 PMThePerfectHacker
- Nov 24th 2007, 10:17 AMnumberonenacho
When I tried to evaluate the integral, I can do the R part of it, but theres no place for me to put the theta value. Shouldn't there be two different variables in a double integration problem like this?

- Nov 24th 2007, 10:49 AMgalactus
Is that ?.

If so, try:

- Nov 24th 2007, 11:00 AMnumberonenacho
hmm okay. So when I evaluate it

http://img75.imageshack.us/img75/9914/37828357zt8.gif

how do I do the second part of the integral. That rdr complicates everything.