Question

The radius of the base of a right circular cone is 6 cm and height is 8cm. Find its curved

surface area?​

Answer 1

Step-by-step explanation:

given height=8 cm

radius=6cm

slant height ,l =√36+64=10 cm

CSA of cone is πrl

22/7 x 6 x 10

=1320/7

Answer 2

Question:-

The radius of the base of a right circular cone is 6 cm and height is 8cm. Find its curved surface area?.

Required Answer:-

Given:-

• Radius of the right circular cone is 6cm
• Height of the right circular cone is 8cm

To Find:-

• Curved Surface area of the cone.

Solution:-

Here, we have,

• Radius r = 6cm
• Height h = 8cm

But we have to find the slant height of the cone.

We know that :-

$\\ \sf{\bold{l {}^{2} = \sqrt{r {}^{2} + h {}^{2} }}}$

$\sf{\implies{ {l}^{2} = \sqrt{{6}^{2} + {8}^{2}} }}$

$\sf{\implies{ {l}^{2} = \sqrt{36 + 64}}}$

$\sf{\implies{ {l}^{2} = \sqrt{100}}}$

$\sf{\therefore{l = \bold{10cm}}}$

$\\\underline{\boxed{\pmb{Curved \:Surface \: Area \:Of \: Cone = \pi rl}}}$

Therefore, substituting the values:-

$\\\sf{Curved \: Surface \: Area = \bold{\dfrac{22}{7} \times 10cm \times 8cm}}$

$\sf{\implies{Curved \: Surface \: Area = \bold{(\dfrac{22}{7} \times 6 \times 10) {cm}^{2} }}}$

$\sf{\implies{Curved \: Surface \: Area = \bold{(\dfrac{22}{7} \times 60) {cm}^{2} }}}$

$\sf{\implies{Curved \: Surface \: Area = \bold{\red{188.571 {cm}^{2}}} }}$

$\\\underline{\boxed{\rm{Hence, curved \: surface \: area \: of \: the \: cone = \bold{188.571 {cm}^{2}}}}}$