Just $$K$$?

Calculus Level pending

Let $$R$$ be the region enclosed by the coordinate axes and the graph of $$y = K(x-2)^2$$.

When $$R$$ is revolved $$360^\circ$$ about the $$y$$-axis, the solid formed has a volume of $$8\pi\text{ unit}^3$$. Find the positive value of $$K$$.

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