Curved surface area of a cone is 308 cm2

Solution:

(1) It is given that

Slant height of cone = 14 cm

Let radius of circular end of cone = r

Curved surface area of cone = πrl

$\Rightarrow 308 \mathrm{~cm}^{2}=22 / 7 * \mathrm{r} * 14$

⟹ r = 308/44 = 7 cm

Thus radius of circular end of cone = 7 cm.

(ii) It is given that C.S.A $=308 \mathrm{~cm}^{2}$

We know that total surface area of a cone

= curved surface area of a cone + Area of base

$=\pi r l+\pi r^{2}$

$=\left[308+\left(22 / 7 * 7^{2}\right)\right]$

= 308 + 154

$=462 \mathrm{~cm}^{2}$

Thus total surface area of the cone is $462 \mathrm{~cm}^{2}$