Calculus or Geometry or Physics

Calculus Level 5

If the coordinates of the centroid of the solid formed by revolving \text{solid formed by revolving} the area bounded by the parabola y 2 = 32 x y^2=32x , the X X axis and the latus rectum , about the l a t u s r e c t u m latus~ rectum is

( a , b ) (a,b)

Find a + b a+b


The answer is 13.

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