The region is a cone, $z = \sqrt{x^2 + y^2}$, topped by a sphere of radius 4. Find the limits of integration on the triple integral for the volume of the snowcone using Cartesian, cylindrical, and spherical coordinates and the function to be integrated. For your answers $\theta$ = theta, $\phi$ = phi, and $\rho$ = rho.
Cartesian
$V = \int_A^B \int_C^D \int_E^F p(x, y, z) \, dz \, dy \, dx$
where A = _____, B = _____, C = _____, D = _____, E = _____, F = _____, and $p(x, y, z) = ____$
Cylindrical
$V = \int_A^B \int_C^D \int_E^F p(r, \theta, z) \, dz \, dr \, d\theta$
where A = _____, B = _____, C = _____, D = _____, E = _____, F = _____, and $p(r, \theta, z) = ____$
Spherical
$V = \int_A^B \int_C^D \int_E^F p(\rho, \theta, \phi) \, d\rho \, d\theta \, d\phi$
where A = _____, B = _____, C = _____, D = _____, E = _____, F = _____, and $p(\rho, \theta, \phi) = _____$
