Answer :
Answer:
1/6in
Step-by-step explanation:
In order to find the height of the melted ice-cream, first we need to find volue of a sphere then a cylinder and equate them.
As we know, the volume of a sphere is defined as:
V = (4/3)π·r³
therefore, scoop has:
V = (4/3)π·(2 in)³ => 32π/3 in³
Next is to find the volume of a cylinder
V = π·r²·h=> π·(8 in)²·h
Since the cylinder has the same volume as the sphere, we have
32π/3 in³ = π·(8 in)²·h (simplifying the equation)
We have, h = (32π in³)/(3x64π in²) = 1/6 in
Answer: h=1/6in