Question

22 Assume = unless stated otherwise. 7 1. Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.


please check my answer that my answer is right or wrong​

Answer 1

Answer:

Given :-

• The diameter of the base of a cone is 10.5 cm and its slant height is 10 cm.

To Find :-

• What is the curved surface area of a cone.

Solution :-

First, we have to find the radius of a cone :

Given :

• Diameter = 10.5 cm

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{Radius =\: \dfrac{Diameter}{2}}}$

So, by putting the value we get,

$\implies \sf Radius =\: \dfrac{10.5}{2}$

$\implies \sf\bold{Radius =\: 5.25\: cm}$

Hence, the radius of a cone is 5.25 cm .

Now, we have to find the curved surface area of a cone :

Given :

• Radius = 5.25 cm
• Slant Height = 10 cm

According to the question by using the formula we get,

$\implies \sf\boxed{\bold{Curved\: Surface\: Area_{(Cone)} =\: {\pi}rl}}$

where,

• π = Pie or 22/7
• r = Radius
• l = Slant Height

So, by putting those values we get,

$\implies \sf Curved\: Surface\: Area_{(Cone)} =\: \dfrac{22}{7} \times 5.25 \times 10$

$\implies \sf Curved\: Surface\: Area_{(Cone)} =\: \dfrac{22}{7} \times 52.5$

$\implies \sf Curved\: Surface\: Area_{(Cone)} =\: \dfrac{1155}{7}$

$\implies \sf\bold{\underline{Curved\: Surface\: Area_{(Cone)} =\: 165\: cm^2}}$

$\therefore$ The curved surface area of a cone is 165 cm² .

Answer 2

Answer:

165 cm

Step-by-step explanation:

i hope you understand