2016 Guts #5
Source:
December 24, 2016
Problem Statement
Patrick and Anderson are having a snowball fight. Patrick throws a snowball at Anderson which is shaped like a sphere with a radius of centimeters. Anderson catches the snowball and uses the snow from the snowball to construct snowballs with radii of centimeters. Given that the total volume of the snowballs that Anderson constructs cannot exceed the volume of the snowball that Patrick threw, how many snowballs can Anderson construct?