This time a Paraboloid!

There's a Paraboloidal Tank having depth $H$ and Diameter of top Circular Opening as $D$ .If the Surface Area of the tank can be expressed as: $\large\frac { a\pi D }{ b\sqrt { H } } \left[ { \left( H+\frac { { D }^{ e } }{ fH } \right) }^{ \frac { c }{ d } }-{ \left( \frac { { D }^{ e } }{ fH } \right) }^{ \frac { c }{ d } } \right]$ where $a,b,c,d,e,f$ are positive integers the submit: $a+b+c+d+e+f$ as answer.