A solid cylinder has radius $$\(x \mathrm{~cm}\)$$ and height $$\(\frac{7 x}{2} \mathrm{~cm}\)$$. The surface area of a sphere with radius $$\(R \mathrm{~cm}\)$$ is equal to the total surface area of the cylinder. Find an expression for $$\(R\)$$ in terms of $$\(x\)$$. [The surface area, $$\(A\)$$, of a sphere with radius $$\(r\)$$ is $$\(A=4 \pi r^{2}\)$$.] $$\[ R= ............................................ \]$$

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