Question

Curved surface area of a cone is 308 $c{m}^2$ and its slant height is 14 cm.Find the radius of the base and total surface area of the cone.

Answer 1

Area of curved surface of a cone=308 $c{m}^2$

and slant height (l)=14 cm

$\therefore Radius\left(r\right)=\frac{Curvedsurface}{\pi l}=\frac{308\times 7}{22\times 14}=7cmNowtotalsurfacearea=\pi rl+\pi r^2=308+\frac{22}{7}\times 7\times 7c{m}^2=308+154=462c{m}^2$