Find the total surface area of solid cone of radius 2(sqrt{3})cm and slanting side 4(sqrt{3})

A.
8(sqrt{3}pi )cm^{2} 
B.
24(pi )cm^{2} 
C.
15(sqrt{3}pi )cm^{2} 
D.
36(pi )cm^{2}
Correct Answer: Option D
Explanation
Total surface area of a solid cone
r = 2(sqrt{3})
= (pi r^2) + (pi)rH
H = 4(sqrt{3}), (pi)r(r + H)
∴ Area = (pi)2(sqrt{3}) [2(sqrt{3}) + 4(sqrt{3})]
= (pi)2(sqrt{3})(6(sqrt{3}))
= 12(pi) x 3
= 36(pi )cm^{2}