Question

Slant height of cone is 25 cm and it's CSA is 550 cm find its height.

Answer 1

$CSA=\pi rl.=\pi r\times 25=550c{m}^2\therefore r=\frac{550}{25\pi }=\frac{22}{\pi }=7$
$h^2+r^2=l^2{h}^2=l^2-r^2={25}^2-7^2=18\times 32=576\therefore h=\sqrt{576}=24cm$
height of cone =24 cm