Question

Find the height of cone, if the slant $h$, is $34cm$ and base diameter is $32cm$.

Answer 1

$l=\sqrt{r^2+h^2}$ where l is slant height h is height r is radius of cone.

$(34{)}^2=(16{)}^2+h^2$

$h^2=(34{)}^2-(16{)}^2$

$h=\sqrt{\left({34}^2\right)-(16{)}^2}=30$ cm