SOLUTION: An ice cream cone with a 1.5 inch radius is twice as tall as it is wide. The cone is served with a spherical scoop of ice cream with the same volume as the cone. How wide is the sc

Question 964577: An ice cream cone with a 1.5 inch radius is twice as tall as it is wide. The cone is served with a spherical scoop of ice cream with the same volume as the cone. How wide is the scoop of ice cream?
I just dont understand how to work through this problem!
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
.
One would think the width of the scoop was the same as the diameter of the cone (3 inches), but to be sure:
First find the volume of the cone:
r=radius; h=height; V=volume

Find the diameter of a sphere with volume=4.5(pi) sq in
V=(4/3)(pi)r^3

The radius of the scoop is 1.5 inches
The width (diameter) of the scoop is 3 inches, same as the base of the cone.

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