The height of the cone is 18.79 ft.
Step-by-step explanation:
Given,
The slant height (l) of the cone = 17 ft
The diameter = 16 ft
So, the radius (r) = 8 ft
To find the height (h) of the cone.
Formula
By Pythagoras theorem,
Perpendicular²+ base² = height²
Now,
Height² = 17²+8²
= 289+64
= 353
h = [tex]\sqrt{353}[/tex] - 18.7888 = 18.79 (approx)
Hence,
The height of the cone is 18.79 ft.
