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 Homework Statement:

A dispersion relation of a ultrarelativistic free electrons gas is given by $$e_{k} = c\hbar{\sqrt{k_{x}^{2}+k_{y}^{2}+k_{z}^{2}}}$$
Determine the number and density of orbitals. Show that pressure p is related to energy U by pV=U/3. Determine the energy U in the degenerate free electron regime.
 Relevant Equations:
 ##e_{k} = c\hbar{\sqrt{k_{x}^{2}+k_{y}^{2}+k_{z}^{2}}}##
I don't know how to approach this problem.