Mass of Ice Cream Cone using Triple Integrals

Hey!

I'm trying to find the mass of an ice cream cone made by 2 surfaces.

The first is a sphere with radius 5 at the origin.

The second is a cone centered around the positive z-axis emanating from the origin. The two intersect to make a circle of radius 3.

The density is density= z mg/cm^3 (all dimensions were given in cm)

Mainly I don't understand how to set the limits for the integration in terms of spherical.

All help is greatly appreciated! Really stumped on where to begin.

Re: Mass of Ice Cream Cone using Triple Integrals

Re: Mass of Ice Cream Cone using Triple Integrals

If you look at the cone, it needs to have the equation $\displaystyle z = \frac{4}{3}\sqrt{x^2+y^2}$ in order for its intersection with the sphere to be a circle with radius 3.