Here is a sector, $$\(A O B\)$$, of a circle with centre $$\(O\)$$ and angle $$\(A O B=x^{\circ}\)$$ Diagram NOT accurately drawn The sector can form the curved surface of a cone by joining $$\(O A\)$$ to $$\(O B\)$$. Diagram NOT accurately drawn The height of the cone is $$\(25 \mathrm{~cm}\)$$. The volume of the cone is $$\(1600 \mathrm{~cm}^{3}\)$$ Work out the value of $$\(x\)$$. Give your answer correct to the nearest whole number.

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