?Let Q be the solid bounded above the cone \(x^{2}+y^{2}=z^{2}\) and below the sphere

Chapter 5, Problem 344

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Let Q be the solid bounded above the cone \(x^{2}+y^{2}=z^{2}\) and below the sphere \(x^{2}+y^{2}+z^{2}-4 z=0\). Its density is a constant k > 0. Find k such that the center of mass of the solid is situated 7 units from the origin.

Text Transcription:

x^2 + y^2 = z^2

x^2 + y^2 + z^2 - 4z = 0

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