The radius of a cone is 7 cm and area of curved surface is 176 cm2

Question:
The radius of a cone is $7 \mathrm{~cm}$ and area of curved surface is $176 \mathrm{~cm}^{2}$. Find the slant height.

Solution:

It is given that:

Radius of cone(r) = 7 cm

Curved Surface Area (C. S. A) $=176 \mathrm{~cm}^{2}$

Slant Height of tent (l) = ?

Now we know,

C.S.A = πrl

⟹ πrl = 176

⟹ 22/7 ∗ 7 ∗ l = 176

$\Rightarrow \mathrm{l}=\frac{176 * 7}{22 * 7}=8 \mathrm{~cm}$

Therefore the slant height of the cone is 8 cm.