Answer:
No
Step-by-step explanation:
The volume of the sphere is given by ...
V = (4/3)πr³ = (4r)·(1/3)πr²
The volume of the cone is given by ...
V = (1/3)πr²h = h·(1/3)πr²
So, the cone will overflow if ...
4r > h . . . . cone would overflow
In this problem, r = 1 inch and h = 5 inches, so ...
4(1 in) < 5 in . . . . the cone will NOT overflow