Its Young's (excluded) not Old's (included)

A cone of circular cross section having base radius \(R\) and height \(L\) and mass \(M\) is suspended from its base as shown in the figure. The material of the cone has young modulus \(Y\). The acceleration due to gravity is \(g\). The elastic potential energy stored in the cone is \[E=\frac{m^{a}g^{b}L^{c}}{d\pi^{e}R^{f}Y^{g}}\]

Find \[a+b+c+d+e+f.\]

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