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c. There exists a number $$k , k > 4$$ , such that when $$S$$ is revolved around the line $$y = k$$ , the resulting solid has the same volume as the solid in part (b). Write, but do not solve, an equation involving an integral expression that can be used to find the value of $$k$$ .
$$\pi \int (x- k)^{2}f(x)dx= 160.850$$