The diagram shows a solid cone and a solid hemisphere. The cone has radius $$\(2.4 \mathrm{~cm}\)$$ and slant height $$\(6.3 \mathrm{~cm}\)$$. The hemisphere has radius $$\(R \mathrm{~cm}\)$$. The total surface area of the cone is equal to the total surface area of the hemisphere. Calculate the value of $$\(R\)$$. [The curved surface area, $$\(A\)$$, of a cone with radius $$\(r\)$$ and slant height $$\(l\)$$ is $$\(A=\pi \mathrm{rl}\)$$.] [The curved surface area, $$\(A\)$$, of a sphere with radius $$\(r\)$$ is $$\(A=4 \pi r^{2}\)$$.] $$\[ R=............................................ \]$$

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