Question

What is the total surface area of a cone if it’s radius is r/2 and the slant height is 2L

Answer 1

$\huge{\underline{\underline{\purple{\sf{Answer :}}}}}$

★ Given :

Radius of cone = r/2

Slant height = 2L

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★ To Find :

Total Surface Area

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★ Solution :

We know that,

$\Large{\boxed{\boxed{\green{\sf{T.S.A = \pi r l + \pi r^2}}}}}$

(Putting Values)

T.S.A = π * (r/2) * 2l + π(r/2)²

T.S.A = πrl + π(r²/4)

T.S.A ° π(rl + r²/4)

$\large{\boxed{\blue{\sf{T.S.A = \pi(rl + \frac{r^2}{4})}}}}$

$\rule{200}{2}$

We know that,

$\Large{\boxed{\boxed{\gray{\sf{C.S.A = \pi r l}}}}}$

(Putting Values)

C.S.A = π * (r/2) * 2l

C.S.A = πrl

$\large{\boxed{\orange{\sf{C.S.A = \pi r l}}}}$

$\rule{200}{2}$

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