\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider the region bounded by the curve \(y=x^2\), the y-axis, and the line \(y=4\). This region is revolved around the y-axis to generate a solid.
  1. Express the boundary curve in the form \(x=g(y)\).
  2. Find the volume of the solid generated.

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