What is the total energy in the elliptical galaxy's radiation envelope?

[viviseraph00]

Homework Statement

An elliptical galaxy has gravitational boundaries defiend by 9x^2+16y^2+144z^2=144. A black hole at the center of the galaxy is interacting with dark matter producing a radiation envelope defined by the region inside the cone Z^2=27x^2+48y^2. If the energy density in this envelope is defined by ρ(x,y,z)=Κ |xyz|
Determine the following given the above with K >C

2.what is the total energy in the envelope.

Homework Equations

The Attempt at a Solution

total energy = energy denisty * volume. i don't get what is ρ(x,y,z)=Κ |xyz| means?

 

[ystael]

The energy density is a function of position, and you need to integrate it over the volume to compute the total energy.