# 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 $$a+b$$

×