Respuesta :
Answer:
no it doesn't
Step-by-step explanation:
for the I.c. to overflow;
Vcone<Vsemi-sphere
pi(r)²h/3<2pi(r³)/3
h<2r
(canceling common terms on both sides)
h=8
r=d/2=5/2
h<2r
8<5 is false so it doesn't overflow
If all the ice cream melts into the cone, the cone would overflow.
In order to determine if the ice cream would overflow, we have to determine the volume of the ice cream cone and the ice cream scoop.
Volume of the ice cream cone = 1/3πr²h
π = 22/7
r = radius = 5/2 = 2.5
h = height = 8
Volume of the ice cream cone = 1/3 x 22/7 x 2.5² x 8 = 52.38cm³
Volume of a sphere = 4/3 x pi x r^3
4/3 x 22/7 x 2.5³ = 65.48 cm³
The volume of the ice cream is greater than that of the cone, so the ice cream would overflow.
To learn more about how to determine the volume of a sphere, please check: https://brainly.com/question/16924154
