Answer:
The total surface area of the given cone is
[tex]S = 4( \sqrt{3}+1)\pi cm^2[/tex]
Step-by-step explanation:
Step 1:-
Formula:-
The total surface area of cone is
[tex]S.A = \pi r l +B[/tex]
[tex]S.A = \pi r l +area of base [/tex]
[tex]S.A = \pi r l+ \pi r^2[/tex]........(1)
Step 2:-
Given slant height [tex]l = 2\sqrt{3} cm[/tex]
and radius of the circle (base) = 2
substituting these values in equation (1)
[tex]S.A = \pi (2)(2\sqrt{3} ) + \pi (4)[/tex]
on simplification, we get
[tex]S.A = \pi (4\sqrt{3}+4)[/tex]
Final answer :-
[tex]S.A = 4 (\sqrt{3}+1)\pi cm^2[/tex]
