The radius of a traffic cone is 14 centimeters and the lateral surface of the cone is 1617 square centimeters. Find the height of the cone.
Don't know where to go from this.
Hi A Beautiful Mind,
The L.A. of a cone is given by $\displaystyle \pi r l$, where r = radius and l = slant height.
Therefore, $\displaystyle 1617=\pi (14)l$
$\displaystyle l=\frac{1617}{14 \pi}$
Use the Pythagorean Theorem to find the height of the cone.
$\displaystyle \left(\frac{1617}{14 \pi}\right)^2=h^2+14^2$