Question

Diameter of the base of a cone is 10.5cm and its slant height is 10cm. Find its Curved surface Area. ​

Answer 1

Answer:

Given :-

For cone :-

Diameter of cone = 10.5 cm

Diameter of cone = 10.5 cm Slant height or length = 10cm

As diameter of the cone is given then radius :-

$\rightarrow\mathrm{radius \: = \frac{diameter}{2} }$

$\rightarrow\mathrm{radius \: = \frac{105}{2×10} }$

$\rightarrow\mathrm{radius \: = \frac{105}{20} }$

So,

$\rightarrow\pink{\mathrm{The \: \: formula \: \: to \: \: find \: \: the \: \: area \: \: of \: \: a \: \: cone \: \: is \: \: 兀 rl }}$

Now, Area of cone :-

$\purple{\rightarrow \mathrm{Area \: = \pi \: rl}} \\ \\ \purple{\rightarrow \mathrm{Area \: = \cancel \frac{22}{7} \times \cancel\frac{105}{20} \times \cancel 10}} \\ \\ \purple{\rightarrow \mathrm{Area \: = 11 \times 15}} \\ \\ \purple{ \boxed{ \mathrm{Area \: =165 \: {cm}^{2} }}}$

Therefore, The area of the cone is 165 sq.cm .

HOPE IT HELPS YOU DEAR... :)