9514 1404 393
Answer:
15.9 m
Explanation:
The radius (18 m) and the slant height form one leg and the hypotenuse of the right triangle that has the cone height as the other leg. The Pythagorean theorem tells you the height (h) is ...
18² + h² = 24²
h = √(576 -324) = √252
h ≈ 15.9 . . . . . meters
The height of the cone is about 15.9 meters.