Finding bounds on triple integral?

[beallio]

Homework Statement

Integrate the function over the solid given by the "slice" of an ice-cream cone in the first octant bounded by the planes x=0 and and contained in a sphere centered at the origin with radius 20 and a cone opening upwards from the origin with top radius 16.

Homework Equations

x=psin(phi)cos(theta)
y=psin(phi)sin(theta)
z=pcos(phi)

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

The Attempt at a Solution

I don't understand how to get the x y and z bounds from the equations given.

 

[tiny-tim]

Hi beallio!

Hint: horizontal slices of thickness dz, again, just like the other problem.