If a right circular cone of vertical height 24 cm has a volume of \[\frac{5}{2}(10+5\sqrt{3})sq.cm\], then the area of its curved surface is:

• A.  \[4m\times 2m\]                     
• B.  \[625c{{m}^{2}}\]              
• C.  \[125c{{m}^{2}}\]           
• D.  \[150c{{m}^{2}}\]