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## Homework Statement

f(x,y,z) = 1

[itex]x^{2}[/itex] + [itex]y^{2}[/itex] + [itex]z^{2}[/itex] ≤ 4z

z ≥ [itex]\sqrt{x^2 + y^2}[/itex]

## Homework Equations

## The Attempt at a Solution

How can I know ρ if there is z variable? Do I just square root both 4 and z?

For θ, since it is sphere it would be 0 ≤ θ ≤ 2[itex]\pi[/itex] right?

for [itex]\phi[/itex], is it 0 ≤ [itex]\phi[/itex] ≤ [itex]\pi[/itex]?

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