Question

The radius of a cone is $7cm$ and the area of the curved surface is $176c{m}^2$. Find the slant height.

Answer 1

Find the slant height of the cone

Let the slant height of the cone be $lcm$

Given that, the radius $r$ of the cone is $7cm$ and its curved surface area is $176c{m}^2$

Curved Surface Area of a cone of radius $r$ and slant height $l$ $=\pi rl$

$$\begin{gathered} \therefore 176=\frac{22}{7}\times 7\times l(\mathrm{\pi }=\frac{22}{7}) \\ \Rightarrow l=\frac{176}{22} \\ \Rightarrow l=8cm \end{gathered}$$

Therefore, the slant height of the cone is $8cm$