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\(\pi \)cm²

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