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

A lamina occupies the part of the disk x^2 + y^2 ≤ 16 in the first quadrant and the density at each point is given by the function ρ(x,y) = 2(x^2+y^2) .

What is the total mass? Where is the center of mass? (Once I solve total mass I can solve the center by myself.)

3. The attempt at a solution

Total Mass:

I thought it might be easier to solve if I translate this into cylindrical coordinates, so therefore {0≤ r≤ 4, 0≤theta≤ pi/2, 0≤ z≤ 16-r^2}.

I solved this through triple integrals in the order of (rdzdthetadr) and ended up with an answer of (1024/3)*pi, but I'm being told this is incorrect.

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# Homework Help: Total Mass; Triple Integrals

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