Just K K ?

Calculus Level pending

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

When R R is revolved 36 0 360^\circ about the y y -axis, the solid formed has a volume of 8 π unit 3 8\pi\text{ unit}^3 . Find the positive value of K K .

3 2 1 4 3 \frac { 4 }{ 3 }

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