Question

The CSA of a cone is $4070c{m}^2$ and its diameter is $70$cm. What is its slant height.

Answer 1

$d=70cm$
$\therefore r=35cm$ CSA of a cone$=\pi rl$.
$4070c{m}^2=\frac{22}{7}\times 35cm\times l$
$\therefore \frac{4070}{110}=l$
$\therefore l=37cm$
$\therefore$ Slant height of the cone $=37cm$.