Calculus or Geometry or Physics

Calculus Level 5

If the coordinates of the centroid of the \(\text{solid formed by revolving}\) the area bounded by the parabola \(y^2=32x\), the \(X\) axis and the latus rectum, about the \(latus~ rectum\) is

\((a,b)\)

Find \(a+b\)

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