Find the center of mass of the solid that is bounded by the hemisphere z = sqrt(21 - x ^2 - y^2) and the plane z = 0 if the density at a point P is directly proportional to the distance from the xy-plane.

I know that the integral is setup :

[itex]

m = \int_{0}^{2\pi}\int_{0}^{\pi/2}\int_{0}^{1} kzp^{2}sin\theta dpd\phid\theta

[/itex]

How ever I do not see how p = 1 for this equation...

i know x^2 + y^2 + z^2 = p^2

any help would be appreciated... for all my other problems i would isolate x^2 + y^2 + z^2 and determine my p, however, for this problem, that isnt working...

thanks a lot

**1. Homework Statement**

**2. Homework Equations**

**3. The Attempt at a Solution**