19. A cone has a diameter of 36 meters and a slant height of 24 meters. What is the height of the cone to the nearest tenth?
24 m
36 m

9514 1404 393
Answer:
15.9 m
Step-by-step 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.