Question: Let (t, x, y, z) be the mass density function at the point (x, y, z) at time t > 0 of a circular cylinder

Let (t, x, y, z) be the mass density function at the point (x, y, z) at time t > 0 of a circular cylinder of radius R > 0, its base on the xy-plane and centered around the z-axis, its height h.

What is the total mass of the cylinder?

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