9514 1404 393
Answer:
10.24 m
Explanation:
The volume formulas for the figures are ...
- V = 4/3πr³ . . . sphere
- V = 1/3πr²h . . . cone
You can fill in the given radii and set the volumes equal:
4/3π(4 m)³ = 1/3π(5 m)²h
h = (4^4)/(5^2) m . . . . . divide by the coefficient of h
h = 10.24 m
The height of the cone is 10.24 meters.