Answer:
No, because the volume of the cone is greater than the volume of the ice cream scoop.
Step-by-step explanation:
To solve this problem we just need to compare the volume of the ice scream scoop with the volume of the ice cream cone.
The ice scream scoop is a sphere with a diameter of 2 inches (so a radius of 1 inch), then the volume is:
V = (4/3) * pi * r^3
V = (4/3) * pi * 1^3
V = 4.1888 in3
Now, to find the volume of the ice cream cone, we just need to use the formula of the cone volume (with radius = 1 inch):
V = (1/3) * pi * r^2 * h
V = (1/3) * pi * 1^2 * 5
V = 5.236 in3
As the volume of the cone is greater than the volume of the ice cream scoop, the ice cream will not spill over the cone after melting.
