Question

The radius and slant height of Cone is 2 cm and 6cm respectively its curved surface

area is ……….........cm².

a) 12 π b) 4 π c) 8 π d) 6 π​

Answer 1

$\huge \mathsf{\orange {\underline {\purple {\underline { Required \ answer \ ♡ \ :- }}}}}$

Given :- Radius of cone=2cm

⠀⠀⠀⠀ Slant height of cone = 6cm

To find : Curved Surface Area of cone?

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀

$\begin{gathered}\dag\;{\underline{\frak{As\;we\;know\;that,}}}\\ \\\end{gathered}$

$\begin{gathered}\star\;{\boxed{\sf{\pink{Curved\:surface\:area_{\;(cone)} = \pi rl}}}}\\ \\\end{gathered}$

where,

r = radius = 2 cm

l = Slant height = 6 cm

⠀⠀⠀

$\begin{gathered}\dag\;{\underline{\frak{Putting\:values\:in\:formula,}}}\\ \\\end{gathered}$

$\begin{gathered}:\implies\sf CSA_{\;(cone)} = \pi \times 2 \times 6\\ \\\end{gathered}$

$\begin{gathered}:\implies\sf CSA_{\;(cone)} = \pi \times 12\\ \\\end{gathered}$

$\begin{gathered}:\implies{\underline{\boxed{\frak{\purple{CSA_{\;(cone)} = 12 \pi cm^2 }}}}}\;\bigstar\\ \\\end{gathered}$

$\therefore\:{\underline{\sf{Curved\:surface\: area\:of\:cone\:is\: \bf{12 \pi\:or\: 37.714\:cm^2}.}}}$

Answer 2

Answer :-

• Curved surface Area of Cone is 12π cm² .

Given :

⬤ Radius of Cone is 2 cm .

⬤ Slant Height of Cone is 6 cm.

To Find :

⬤ Curved Surface Area of Cone .

Formula Used :

$\bf[\:{Curved \: Surface \: Area \: of \: Cylinder = \pi{r}l}\:]$

• r = Radius
• l = Slant Height.

Solution :

According to the Formula :-

πrl

π × 2 × 6

π × 12

12π

Therefore , The Curved Surface Area of Cone is 12π cm².

Hence , Correct Option is a) 12π .

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Related Formulas :

• Curved Surface Area of Cone = πrl
• Total Surface Area of Cone = πr (r + l)
• Volume of Cone = ⅓πr²h
• Total Surface Area of Cylinder = 2πr (r + h)
• Curved surface area of Cylinder = 2πrh
• Volume of Cylinder = πr²h

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