1 Answer

Descf · Answer 1 · 2021-05-02T22:50:15+0000

Answer:

The total surface area of the given cone is

$S = 4( √(3)+1)\pi  cm^2$

Explanation:

Step 1:-

Formula:-

The total surface area of cone is

$S.A = \pi r l +B$

$S.A = \pi r l +area of base$

$S.A = \pi r l+ \pi r^2$ ........(1)

Step 2:-

Given slant height
l = 2√(3) cm

and radius of the circle (base) = 2

substituting these values in equation (1)

$S.A = \pi (2)(2√(3) ) + \pi (4)$

on simplification, we get

$S.A = \pi (4√(3)+4)$

Final answer :-

$S.A = 4 (√(3)+1)\pi cm^2$

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